The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?

Answers

Answer 1

Answer:

The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

Step-by-step explanation:

Given that,

The volume of a right circular cone is 300 cubic inches

We need to find the volume of a  right cylinder that  has the same base and height as the cone.

Volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

And volume of a cylinder is given by :

[tex]V'=\pi r'^2 h'[/tex]

If the base and height of cone and cylinder are same, r=r' and h=h'

[tex]\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V[/tex]

So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.


Related Questions

If you write out the numbers from 0 to 40, how many times would you write the digit 3?

Answers

Four Times you'd say it

The numbers where there are 3 digits from 0 to 40 are

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

The digit 3 will be written thirteen times.

What is a number line?

It is the way of representing numbers on a line where there is an equal unit between each number.

We have,

Numbers from 0 to 40.

There is always a digit 3 in every ten consecutive numbers.

From 0 to 40 we have 4 ten consecutive numbers.

- 0 to 10

- 10 to 20

- 20 to 30

- 30 to 40

3, 13, 23, and 33. _____(1)

There is a digit of 3 in all the consecutive numbers from 30 to 39.

i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)

From (1) and (2) we have,

3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39

Thus,

The digit 3 will be written thirteen times.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ2

how many degrees matches to the radian measure of π/2

Answers

Answer:

π/2 = 90°

Step-by-step explanation:

Given that,

Radian measure = π/2

The formula used to convert radian measure to degree measure is given by :

[tex]\text{Degrees}=\dfrac{180^{\circ}}{\pi}\times \text{radians}\\\\=\dfrac{180^{\circ}}{\pi}\times \dfrac{\pi}{2}\\\\=90^{\circ}[/tex]

So, the degree matches for π/2 is 90°.

Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?

Answers

Answer:

10,800

Step-by-step explanation:

9,000+ 20%= 10,800

Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Answers

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

could u help me

with this ​

Answers

Answer:

P = 7

Step-by-step explanation:

46+8=54

54-5=49

49÷7=P

Consider the table modeling function f (top table)

Complete the table modeling the inverse of function f
(bottom table)

PLEASE HELP!! WILL MARK THE BRAINLYEST??​

Answers

Answer: For Plato users

Step-by-step explanation:

X = -28 ,-9 ,-2 ,-1 ,0

f^-1(×) = -2 , -1 , 0, 1, 2

Just flip the x and y

Just took the test .

Inverse of a function is reverse mapping (if possible). The completed table would look like as shown below:

What is inverse of a function?

Suppose that the given function is [tex]f: X \rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function(a needed condition for inverses to exist), then, the inverse of the considered function is [tex]f^{-1}: Y \rightarrow X[/tex] such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex] (and vice versa).

It simply means,inverse of 'f'  is undo operator, that takes back the effect of 'f'

Inverse of inverse function is function itself.

For the given case, if the function (take x = -2) maps x = -2 to f(x) = -28, then the inverse of this function will take back -28 to -2.

This logic tells us that:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

(x simply denotes input). For inverse function, those values which were outputs of [tex]f(x)[/tex]  are now going to serve as input to inverse of [tex]f(x)[/tex] which is [tex]f^{-1}(x)[/tex]

Thus, the completed table would look like:

[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]

Learn more about inverse functions here:

https://brainly.com/question/21527869

fill in the blank pls​

Answers

I think the answer is c due to the word bag being plural but I’m not sure.

Answer:

number 2

Step-by-step explanation:

Opt la puterea 2014 plus 9 la puterea 2013 este pătrat perfect

Answers

Answer:

ENGLISH PLZ

Step-by-step explanation:

I CANT UNDERSTAND spanish

What is the y-intercept of the line?
What is the slope of the line?
Write an equation for the line​

Answers

y intercept is -2 (the y intercept is found by seeing where the line passes the y axis)

slope is 5/2 or 2.5

equation is: y = 2.5x -2

what is 32 divided by 97

Answers

Answer:

0.32989690721

Step-by-step explanation:

Answer:

rounded to the nearest hundred: 0.33

Step-by-step explanation:

hope this helps :3

Choose the equation that is true.

345 – 15 = 15 - 345
18 + 0 = 0 + 18
3 + 8 = 7 + 5
5 + 4 + 2 = 6 + 3 + 1

Answers

the second one is true
the first one is 330=-330
the third is 11=12
the fourth is 11=10
so the first is the only true answer

On January 1, 2021, Universe of Fun issues $750,000, 9% bonds that mature in 15 years. The market interest rate for bonds of similar risk and maturity is 10%, and the bonds issue for $692,353. Interest is paid semiannually on June 30 and December 31. Record the issuance of the bonds on January 1, the interest payments on June 30, and December 31, 2021.

Answers

Answer:

Universe of Fun

Journal Entries are used to record transactions:

January 1, 2021:

Debit Cash Account $692,353

Debit Bonds Discount $57,647

Credit Bonds Payable $750,000

To record the issue of 9% bonds, semiannual interest, that mature in 15 years.

June 30, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

December 31, 2021:

Debit Interest Expense $35,672

Credit Discount Amortization $1,922

Credit Cash Account $33,750

To record the interest expense and discount amortization.

Step-by-step explanation:

Bonds Payable = $750,000

Bonds issued at a discount = $692,353

Bonds discount = $57,647 ($750,000 - $692,353)

Interest rate = 9%

Interest expense, semiannually = $33,750 ($750,000 * 9%)/2

Maturity of bonds = 15 years

Bonds discount will be amortized over 15 at $3,843 per annum ($57,647/15) on straight-line basis

Bonds discount semiannually = $1,922

b) Bonds discount arise as Universe of Fun issues the $750,000 bonds for $692,353 (less by $57,647).  This means that the bondholders are paying less than the face value, but will be repaid the full face value at maturity.

The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?

Answers

8 and 29 is the answer.

jamal sells some packs f muffins . each pack contains 4 muffins , he sells 36 muffins in al. how many packs of muffins did jamal sell

Answers

f = muffins

4 muffins perpack

36 sold

[tex]\frac{36}{4}[/tex] 36 divided by 4 = 9

9 what...

9 packs of muffins

i think thats how you do it but i no thats what the answer is

HELP!!!!!
HELP!!!!
HELP!!!!!
PLEASE!!!

Answers

Answer:

B is the answer. Just substitute 14 in for x.

Step-by-step explanation:

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 4, 7, 9, 12, ...​

Answers

Answer:

no

Step-by-step explanation:

the sum of 4+7+9+12=32

32/4= 8

8 is not part of the sequence. Therefore its not arithmetic.

Guys actually help me with this please.

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2x2 = 4

3x2 = 6

Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9

Omg Pleasssee Help Me

Answers

Answer:

5(5v+4)=17v+8v+9+9

25v+20=25v+18

25v-25v=18-20

0v=-2

i think soooo

this question is very very irrelevant

Step-by-step explanation:

Stefan sells Jin a bicycle for $162 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $​

Answers

Answer:

He spent $110.00 on both originally

Step-by-step explanation:

Add both prices too get 165

Then use the equation  =  

cross multiply to get 150x=16500

Divide 16500 by 150 to get x alone

x= 180

Frank bought 6 bags of dog food and 7 bags of cat food for $74.50. Daisy bought 3 bags of dog food and 9 bags of cat food for $ 67.50 . How much does it cost for each bag of dog and cat food ?

Answers

The question is not clear

A 600-room hotel can rent every one of its rooms at $50 per room. For each $1 increase in rent, 5 fewer rooms are rented. Each rented room costs the hotel $10 to service per day. How much should the hotel charge for each room to maximize its daily profit? What is the maximum daily profit?

Answers

it’s $42.42lbs lk nnmn

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Answers

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Convert 88 °F to Celsius Round your answer to the nearest tenth. °C​

Answers

Answer:

Step-by-step explanationfor changing °F to °Cuse the formula

°C=(F-32)5/9

=(88-32)5/9

=56×5/9

=280/9

=31.11

So the value of nearest tenth is 31°c

At a bake sale, students sold 145 chocolate chip cookies, 95 oatmeal cookies, and 87 sugar cookies. What percent of the cookies sold were oatmeal? Round to the nearest tenth

Answers

Answer:

29.05% of cookies sold were oatmeal cookies.

Step-by-step explanation:

Students sold chocolate chip cookies = 145

Students sold oatmeal cookies = 95

Students sold sugar cookies = 87

Total cookies sold = 145+ 95 + 87

Total cookies sold= 327

The formula used to find percentage is : [tex]Percentage = \frac{part}{whole}*100[/tex]

Now, finding percent of the cookies sold that were oatmeal

Percentage of oatmeal cookies sold = [tex]\frac{95}{327}*100[/tex]

Percentage of oatmeal cookies sold = 29.05 %

So, 29.05% of cookies sold were oatmeal cookies.

Answer the question in the picture

Answers

Answer:

the answer is the second choice

Step-by-step explanation:

2 steps right and 5 up in mathematics is written as:

x->x+2 and y->y+5

For instance, in the point L

(-5,-2) --> (-5+2,-2+5)=(-3,3)

which is L'=(-3,3)

and so on.

Find the price of one marker if three markers cost $18. A.) $6
B.) $54
C.) $4
D.) $3

Answers

A.) $6

You take $18/3 markers which gives you $6 for each marker.

Please answer the following geometry question. Thank you.

Answers

Answer:

1,092.8 ft

Step-by-step explanation:

The information here gives us a right triangle.

Let "y" represent the length of the base. (Adjacent length)

Height of the tower = 984 ft (opposite length)

Angle of elevation = 48° (reference angle)

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(48) = \frac{y}{984} [/tex]

Multiply both sides by 984

[tex] tan(48) \times 984 = \frac{y}{984} \times 984 [/tex]

[tex] 1,092.8 ft = y [/tex] (nearest tenth)

A line with a slope of 1 passes through the point (7, 9). What is its equation in
slope-intercept form?

Answers

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

how do u find the third side

Answers

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Apples cost $0.75 per pound and bananas cost $1.05 per pound.

A baker bought a total of 12 pounds of apples and bananas for $10.20.

The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.

How many pounds of each did the baker buy?

Answers

121=10.2
solving a= 0.08447204-0.08669565b
Other Questions
Mi identidad est basada en quien soy, no en lo que otros creen que soyPueden darme su opinin desde su punto de vista? Which equation has a constant of proportionality equal to 0.25Choose 1 answer Think of an activity or event you have attended, and answer the questions below. Adnde fuiste?Fueron otras personas contigo? Quines?Cundo fuiste?Cmo fue el evento o actividad? (Usa uno o dos adjetivos).Fuiste a este lugar otra vez?Your answers must be in complete sentences in Spanish, using the verb "ir" in the appropriate tense. if my current directory is AR write the path for my current directory What is the equation of the line in the graph below? anyone have a short summary of any book pls 2 (x+6) +3x +4 simplified A neutral atom of Cobalt (Co) has an atomic number of 27 and an atomic mass of 59. Therefore, Co has _________________________ Write a program with 2 separate functions which compute the GCD (Greatest Common Denominator) and the LCM (Lowest Common Multiple) of two input integers. Policies for how long to keep records, which records to keep, and which to destroy are called______policies.FIRST ANSWER GETS BRAINLIEST EFind the equation of the line that is perpendicular to the given line and passes through the given point.Enter the right side of the equation as a single fraction.y =5x - 3-;(1,1)4The equation is y = In Genesis 3:15, God made a promise that a descendant of Eve would _____ all men from bondage to sin and restore the right relationship of man to God.redeemdeliversave Please help meImportant Ions move from low to high concentration while using a membrane protein. Which of the following is true? Question 5 options: A. It's moving down the concentration gradient. B. Energy is needed to make this happen C. It's facilitated diffusion. D. It's osmosis. Choose the type of exposition in which the key words below would most likely appear.must, ought to, need to have to, should haveA.illustration/exampleB. definitionC. contrast/comparisonD. process analysisE. classification/divisionF. cause/effect Help will mark Brainliest Which model represents a fraction greater than Three-fifths? Read the excerpt from chapter 6 of Animal Farm.Every Monday Mr. Whymper visited the farm as had been arranged. He was a sly-looking little man with side whiskers, a solicitor in a very small way of business, but sharp enough to have realized earlier than anyone else that Animal Farm would need a broker and that the commissions would be worth having. The animals watched his coming and going with a kind of dread, and avoided him as much as possible.How does the pacing of this passage move the plot forward?The quick pace makes readers suspenseful and confused about Mr. Whymper.The quick pace allows the author to pass an uneventful period of time quickly.The slow pace helps to place emphasis on the animals dread of Mr. Whymper.The slow pace helps develop Mr. Whympers character with descriptive details Explain how the activity supports the skill.Activity- Soccer Skill- Reaction time Find the slope of the line that passes through the points (-10, 2) and (5, 3). One mole of gas occupies a volume of 1 litres at 27 C.what will be pressure of gas?