The volume of a cylinder is 54π cubic inches and the height is 6 inches. Find the radius.

Answers

Answer 1

Answer:

The radius of the cylinder is 3 inches.

Step-by-step explanation:

For any given cylinder, the volume can be expressed as:

volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius of its circular surface, and h is its height.

Given that: volume = 54π cubic inches, and the height = 6 inches.

then,

54[tex]\pi[/tex] = [tex]\pi[/tex] x [tex]r^{2}[/tex] x 6

54[tex]\pi[/tex]  = 6[tex]\pi[/tex][tex]r^{2}[/tex]

[tex]r^{2}[/tex] = [tex]\frac{54\pi }{6\pi }[/tex]

   = 9

r = [tex]\sqrt{9}[/tex]

r = 3

The radius of the cylinder is 3 inches.


Related Questions

Math is hard, please help this idiot TwT

Answers

here you go i hope this help u

At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Show working to support your answer.​

Answers

Answer:

No

Step-by-step explanation:

Originally:

48:42

If some leave and some arrive = 10:11 given in question

So 48- 8 leave = 40 women

Therefore 42+2=44

Now the ratio is 40:44 (Actual amount of people)

When you simplify/ divide by 4 = 10:11

Total amount of people is 40+44= 84 which is less than 90

Help me now or else.

Answers

Answer: c. -3.8

Step-by-step explanation:

-9 1/5-10+2/5+2(14 1/2-70 simplifies to -46/5-10+2/5+2(29/2-7)

reduce numbers: -46/5-10+2/5+2x15/2

-46/5-10+2/5+15

-44/5+5= -19/5 = -3.8

if you are graphing and you are at -1 and then you move did you subtract or add

Answers

Answer:

It depends on which way you want to move.

Step-by-step explanation:

What is the slope formula?
How do you find slope?

Answers

Answer:

https://www.gstatic.com/education/formulas2/355397047/en/slope_of_a_line.svg

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

cmon bro is not that hard

Step-by-step explanation:

I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)

Answers

Answer:12 out of 9 chances

Step-by-step explanation:

Answer: 9/24 or 3/8(simplified).

Step-by-step explanation:

Okay first let's break it down.

The spinner has a 1/4 chance of landing on blue.

The spinner has a 1/2 chance of landing on red.

The spinner has a 1/4 chance of landing on green.

The spinner has a 3/4 chance of landing on red or blue

The spinner has a 3/4 chance of landing on red or green.

The spinner has a 1/2 chance of landing on blue or green.

A 6-sided die has a 1/2 chance of landing on either even or odd.

The question first asks the probability of spinning a red or blue.

So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.

Find the slope of the line y= -2/3x

Answers

The slope is -2/3.
_______________________________


Explanation:

y=mx+b

m= slope

-2/3=m

13 ft 10 ft 18 ft Find the area of the trapezoid. [?] square feet​

Answers

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!

Answers

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

Find the missing length indicated. Leave your answer in simplest radical form.

How do I set up the proportion for this?

Answers

Step-by-step explanation:

AB = X

AC² = AD × AB

60² = 36 × AB

3600 = 36 × AB

AB = 3600/36

AB = 100

So, if AB = X then the value of X is 100.

#CMIIW

* ill mark u BRAINLIEST *
Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer.​

Answers

Answer:

No

Step-by-step explanation:

$68 - $24 - $35 = $9

$9 < $12

Therefore, Alexa can't afford to buy a $12 shirt

Answer:

no

Step-by-step explanation:

24+35=59

59+12=71

so, it does not work

PLZ HELP!! I RLY NEED IT!! Josie selected 6 books from thr library. However, he can only check out 4 books at a time. How many possible selections can he make?

Answers

Answer:

4 selections

Step-by-step explanation:

We are told in the question that:

Josie selected 6 books from the library. However, he can only check out 4 books at a time.

The number of possible selections can he make is 4 selections. This is because, He can only take 4 books out of the library at a time. This is the standard.

A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?

Answers

The total volume of the composite figure is 64 in³.

Volume of a rectangular prism

The volume of a rectangular prism, V = lwh where

l = length, w = width and h = heightVolume of horizontal rectangular prism

Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,

l = 8 in, w = 2 in and h = 2 in.

So, its volume V' = lwh

= 8 in × 2 in × 2in

= 32in³

Volume of vertical rectangular prism

Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,

l = 2 in, w = 2 in and h = 8 in.

So, its volume V" = lwh

= 2 in × 2in × 8 in

= 32 in³

Volume of composite figure

The volume of the composite figure V"' = V' + V"

= 32 in³ + 32 in³

= 64 in³

So, the total volume of the composite figure is 64 in³.

Learn more about volume of rectangular prism here:

https://brainly.com/question/16065525

Please help me with 1,2,3,4,5,6,7,8,9 tell me how u get it and the answer please I really need help

Answers

Answer:

1) x = 15

Step-by-step explanation:

We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse

1)

a² + b² = c²

9² + 12² = x²

81 + 144 = x²

x² = 225

You square root each side so you can get rid of the exponent on x.

[tex]\sqrt{x^2} =\sqrt{225}[/tex]

x = 15

Find the percent of the number. 140% of 60 is

Answers

100% of 60 = 60

100%=60

140% of 60 = x

140%=x

60/x = 100/140

(cross multiplication)

x = 84

140% of 60 = 84

1. The top surface of a model building is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the counter are shown. What is the area of the top surface of the model building.

Answers

Answer:

8.625 feets²

Step-by-step explanation:

Based on measurement illustrated in the attached picture :

There are two rectangles and one triangle :

Area of first rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Area of triangle = 1/2 * base * height

Base = 1.5 ; height = 1.5

Area = 1/2 * 1.5 * 1.5

Area = 1.125 ft²

Area of second rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Total area :

(3.75 + 3.75 + 1.125) feets

= 8.625 feets²

Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7

A^11b^17

1/a^11b^17

1/a^7b^3

A^7b^3

Answers

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3

o is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om​

Answers

Do you have any notes that could be resourceful?

Please Help Me with this Question. I do not understand it.

Answers

Answer: 30

Step-by-step explanation:

the formula for the area of a triangle is base times height divided by 2

A=bh/2

the base in this triangle is 15 and the height is 4

(15)(4)/2

60/2

30

1 point
What is the interquartile range.??
Survey of Ages of Participants
++++
5 15 25 35 45 55 65 75 85
O 10
20
40
ОС
45

Answers

Answer:

IQR = 20

Step-by-step explanation:

Quartile 1 = 25

Quartile 3 = 45

To find the interquartile range, take Q3 from Q1

45 - 25 = 20 .

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

the answer is B - 96 trust me

HELP NEEDED!!!! this is for math and needs to be due at 8. please help me!

Answers

Answer:

1/3

Step-by-step explanation:

So remember slope is y/x.

THe y value is 1st y minus 2nd y. In this case 6-4.  This gets you 2

The x value is 1st x minus 2nd x. In this case 8-2. This gets you 6

Put the y and x value into your fraction(y/x) and you get 2/6.

This can be simplfyied as 1/3

Answer

1/3

Ti⊂k∫∈s ω∅∅p

An article is bought for Rs 100 and sold for Rs 125. What
is the profit percentage?
(Ans: 25%​

Answers

Answer:

25%

Step-by-step explanation:

125 - 100 = 25

25 / 100 = 0.25

0.25 * 100 = 25%

which question can be answered using the expression 1/3 didvied by 3/4

Answers

Answer:

1/3 divided by 3/4 = 0.44

Step-by-step explanation:

1/3 (0.33) divide by 3/4 (0.75) = 0.44

For every vote Bryan got for class president, Will got three votes. What is an equivalent ratio to the situation described?

Answers

Answer:

An equivalent ratio would be 1:3 because when Bryan gets one vote, Will gets 3.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Which answer is correct??

Answers

Answer:

8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

y

2

−3=1

1

2

y+−3=1

1

2

y−3=1

Step 2: Add 3 to both sides.

1

2

y−3+3=1+3

1

2

y=4

Step 3: Multiply both sides by 2.

2*(

1

2

y)=(2)*(4)

y=8

Answer:

C.

Step-by-step explanation:

Replace y with each value.

If y is 2 then the answer would be -2

If y is 4 then the answer would be -1

If y is 8:

8/2 = 4

4-3 = 1

Please mark brainliest if this answer helped.

Happy Learning!


Is (5,-4) a solution?

(I’ll mark you the brainliest!)

Answers

Answer:oh it is - 5 I had this in my questions for homework

Step-by-step explanation:you have to multiply and subtract and do that many times

Someone help and please make sure it’s right?

Answers

Answer:

I think it is 8.8 yards because its not bigger than 10 and not smaller than 6

help me out with this question please :)

Answers

Answer:

yt

Step-by-step explanation:

The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.



The dilation is
an enlargement
.

Question 2
The scale factor is
.

Answers

The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.



The dilation is
an enlargement
.

Question 2
The scale factor is
.
Other Questions
Why is it expensive to bring electricity into urban areas? Which of the following is NOT an example of a negative feedback loop?A. As a rabbit population grows larger, there is less food per rabbit, and the population size reduces.B. As you get too hot, you sweat to cool your body temperature back down.C. As the population of coyote increases, the population of their prey decreases, resulting in a decrease in coyote population.D. As the population of prairie dogs increases, the ability to spot and warn of predators increases, increasing the growth rate. Prior to the ratification of the Fourteenth Amendment in 1868, who had the responsibility to protect the civil rights of the people?A)the CongressB)the Supreme CourtOthe state governmentsD)the President of the United States Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %). Who or what would come after the cold harmattan season after the harvest had been gathered, and ate up all the wild grass in the fields? a cube has edges measuring 5 inches. Find the surface area of the cube. Find the mean of the data 3,5,7,3,6,4,8,6,9,5 Please help its due tommorrow morning! Frank borrows $6,000 to pay for his tuition. The annual interest rate of the loan is 5.4%. How much interest does Frank owe at the end of one year? If your target audience was only your teacher, which of the following technologies would you share your presentation?your blogyour emailyour class website AddThave a recipe for cheese quesdillas that makes 5servings. I want to make enough for 90 servings.What is the conversion factor? Write the divisionproblem and its solution. if the radius of a circular chapatti is14 cm, what will be its area ? Kelvin ordered four pizzas for a birthday party. The pizzas were cut in eights. How many slices were there? En qu dcada se formaron los sextetos del Son?a. la dcada de los 90C.b. la dcada de los 20d.la dcada de los 40la dcada de los 30Please select the best answer from the choices provided If the area of a rectangular pool is represented by (12xx)-17x-5, the length could be represented by ... A.(3x+1) B.(3x+5) C.(4x-5) D.(4x+1) A recipe uses 1 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk? how does the input distance of a third-class lever compare to the output distance CAN SOMEON HELP W THIS ASAP FOR BRAINLIEST Sonnet 130, "If snow be white, why then her breasts are dun;", What is being compared to what? Is this a positive or negative comparison? A container has a volume of 5.85 L and a pressure of 4.25 atm. What will the volume beIf the containers pressure is changed to 2.75 atm? What happened to Louis Napoleon after his second attempt?