Mathematics High School

The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ . Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

Answers

Answer 1

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

Related Questions

Charlie has more than 50 game coins Charlie has 8 more than 3 times as game coins as Steven if x represents the number of game coins Steven has which inequality can be used to determine the possible number of game coins Steven has

Answers

Answer: [tex]x>14[/tex]

Step-by-step explanation:

Given

Charlie has more than 50 game coins

Steven has [tex]x[/tex] coins

So, according to the question, charlie has 8 more than 3 times the steven coins i.e.

[tex]\Rightarrow 3x+8[/tex]

Also, this must be greater than 50

[tex]\therefore 3x+8>50\\\Rightarrow 3x>42\\\Rightarrow x>14[/tex]

solve for x and y.
A x=6; y=10
B x=13.5; y=10
C x=6;y=5
D x=13.5; y=5

Answers

Answer:

B x=13.5; y=10

this is answer

Step-by-step explanation:

1) Alicia's gross monthly pay is $1,700.
Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90

Answers

Answer:

96.90

Step-by-step explanation:

1700x.0570=96.90

Help plz!!


Ryan worked at a local ice cream shop during the summer. The money he earned for the first six weeks is given below.

$40, $80, $38, $40, $32, $65

Ryan then earned $24 in the seventh week. How were the mean and the median affected?

The mean decreased, and the median remained the same.

The median decreased, and the mean remained the same.

The median and the mean both remained the same.

The mean and the median both decreased.

Answers

Answer:

my answer isn't on the list, but doing the math the median increased from 39 to 40, but the mean decreased from 49.16 to 45.57

The quadratic function f(x) has one zero at x=-5 and a turning point at (3,10). What is the value of its other zero?

Answers

The quadratic function [tex]f(x)[/tex] has one zero at [tex]x=-5[/tex] and a turning point at [tex](3,10)[/tex]. The value of other zero is [tex]11[/tex].

What is Quadratic function?

The Quadratic function [tex]f(x)[/tex] is a polynomial function with one or more variables in which the highest power of the variable is two. i.e.  [tex]f(x) = ax^{2} + bx + c[/tex]

What are zeros?

The zeros of a polynomial [tex]f(x)[/tex] are all the [tex]x[/tex]-values that make the polynomial equals to zero. i.e. [tex]f(x)=0[/tex]

What is turning point?

A turning point is a point at which the derivative changes sign.

We have,

One zero is  [tex](-5)[/tex],

Let other Zero be [tex]"a"[/tex],

Turning point at [tex](3,10)[/tex].

i.e. [tex]x=3[/tex] and [tex]y=10[/tex]

Since the difference between [tex]3[/tex] and [tex](-5)[/tex] is [tex]8[/tex].

So,

The difference between the other zero from [tex]3[/tex] should be the same as the difference between [tex]3[/tex] and [tex](-5)[/tex].

i.e.

[tex]a-3=8[/tex]

[tex]a=11[/tex]

Hence the value of its other zero is [tex]11.[/tex]

To learn more about zeros click here

https://brainly.com/question/5975436

#SPJ2

The price of an Item has been reduced by 80%. The original price was $65. What is the price of the item now?​

Answers

Answer:

$13

Step-by-step explanation:

multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13

True or false 5(6 + 5) = (5 ×6) + (5 × 4)​

Answers

Answer:

false

Step-by-step explanation

The answer is false.

Please help and please dont send a link of the answer to a website :)

Answers

Answer:

well we know that top and botton are 12 and the sides are 5. there are 4 sides soo thats 4 times 5. so basically its 12x12x5x5x5x5 whick is 90000.

Step-by-step explanation:

sorry for the wait!

hope this helps!

please mark brainliest!

have a good day!

:) ;)

(if this is wrong im so sorry, i tried .;(

1. Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa. If Jazmin is 45 years old, how old is Brittany?
Write two algebraic equations, let represent Alyssa’s age in years and represent Brittany’s age in years.
Tysm if u do this <3

Answers

Answer:

Brittany is 15 years old

Step-by-step explanation:

The way we get the answer is by getting the age of Alyssa 45-15=30 as, Jazmin is 15 years older than Alyssa and then we can see that Alyssa is twice as old as Brittany so we divide Alyssa's age by two. 30÷2=15 and we get Brittany's age which is 15 years old.

she is 15 years old ( Brittany)

Mr. Gurney purchased 3 dozen
eggs for $5.73. How much would it
cost to buy 5 dozen eggs?


Please tell me how to solve this and the answer :)

Answers

If mr Gurney purchased 5 dozen eggs it would be 9.55

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

12:32

Step-by-step explanation:

there are twelve triangles n-32 total shapes

What is the GCF of 12,18, 24

Answers

Answer:

6

Step-by-step explanation:

12/2=6

18/3=6

24/4=6

You deposit $100 in an
account that pays an
annual rate of 4%. How
much is in the account
after 12 years?

Answers

Answer:

5669.39

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (In decimal).​

Answers

Answer:

approximately 8.9

Step-by-step explanation:

Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle.  The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.  

Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points.  This length is the distance between the two points:

d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9

please find the sum of difference of (-12) + (-38)

will give brainliest

Answers

-50
Signs are same , you need to add them

Which question is a statistical question because it has more than one answer?

1 : “ where does the current u.s president live?”

2: “ what size coat am i wearing now ?”

3: “did jack wear sneakers or boots to school today?”

4: “ What size shirt the kids in the school wear?”

Answers

4 because you’re finding sizes for multiple people while the other questions are just asking for one thing


Okay can you guys help me find which one is the variable. And like what it means for like example x could equal to distance in km

Answers

Answer:

a) 1000+0.05x ≥2200

b) x=24000

Step-by-step explanation:

a) So we know that Nadia for certain gets paid $1000 each month. That is a concrete amount that doesn't change, so the variable (x) would be placed on the 5% she earns from sales. We don't know how much she sells each month because it varies, so that will be represented by the X. Her goal is to raise NO LESS than $2200, which means the amount she earns from sales has to be greater than or equal to $2200.

b) From here just solve the equation for X:

Pls answer fast and no bs links or I’ll report

Answers

Answer:

Step-by-step explanation:

a c e

A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (–4, 0) and (6, 0). The y-intercept of the first parabola is (0, –12). The y-intercept of the second parabola is (0, –24). What is the positive difference between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.

Answers

Answer:

.5

Step-by-step explanation:

Edge 2021

Answer:

It is indeed 0.5

Step-by-step explanation:

If you have this on edge, then it is correct.

Is -2.2, -1.1, 0.1, 1.3,... an arthmetic sequence

Answers

Answer:

answer is no

Step-by-step explanation:

People r so annoying. Delete my answer bc no step by step¿

Fine. In order o make this an arithmetic sequence, the difference between each number should be the same. It’s not same in this sequence

24 out of the 48 employees at the sport shop or part time employees. What percentage of the employees at the sport shop work part time?

Answers

Answer:

I don't know if you're serious but its 50%.

Step-by-step explanation:

Its really simple, 48/24=2 meaning that 24*2=48 and means that 24 is half of 48 making it 50%.

1a. what is the slope. 1b. what is the y- intercept 1c. write the equation. PLEASE HELP IM DOING HOMEWORK AND ITS 1:00am

Answers

the slope is 1 cos its goin ovr one, up one

y-int is (0,3) or jus strait up 3 cos thts where it crosses the y

iiiif you write it using y=mx+b,, m is the slope n b is the y int so itd jus be: y=x+3

Carla and Marci are having a competition to see who can learn finish typing their research first. Carla already has 2 pages finished and can type 2 pages per hour. Marci has just started typing and can type 3 pages per hour. After how many hours will Carla and Marci have typed the same amount?

Answers

Answer:

The answer is 2 hours, if that i wrong then put in 3 hours.

Step-by-step explanation:

You could juat write out a chart for every number, so 2+0, 4+3, 6+6, so two hours.

Answer:

After 2 hours

Step-by-step explanation:

Let the time is x.

Carla will type:

2x + 2

Marci will type:

3x

Since they will have typed the same number:

3x = 2x + 23x - 2x = 2x = 2 hours

Hey can you help me fast!!!

Answers

Answer:

Area= 4 ft²

Step-by-step explanation:

Area= (2)(2)

multiply 2 × 2= 4

Area= 4 ft²

-------------------------

hope it helps...

have a great day!!

our points are labeled on the number line.



Which point represents the value of ∣−12∣?

Answers

438467385378732452386236532168498329

Answer:

If the point is on positive 12 its that answer

Step-by-step explanation:

Leonard made the 3-d shape below for an art project. He wants to paint it blue.
How many square centimeters of paint does he need to paint the outside of every
side except for the bottom?
10 cm
6 cm

Answers

Answer:

90 [tex]cm^{2}[/tex] of blue paint

Step-by-step explanation:

From the given diagram, the sides have the same dimensions and the shape of a triangle.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

Given that, the base of each side = 6 cm, and the height = 10 cm.

Then,

Area of each side of the shape = [tex]\frac{1}{2}[/tex] x 6 x 10

                                              = 30 [tex]cm^{2}[/tex]

Since Leonard wish to paint only the 3 sides and not the bottom part of the shape, the amount of paint required can be determined as;

3 x area of each side = 3 x 30

                                   = 90 [tex]cm^{2}[/tex]

Leonard would need 90 [tex]cm^{2}[/tex] of paint to paint the sides of the shape.

Can someone plz help me with the first one also it will be appreciated if u could show working out too!

Answers

Answer:

Angles in a quadrilateral add up to 360°.

[tex]90 + 3x + x + 20 + 2x + 10 = 360\\ 90 + 20 + 10 + 3x + x + 2x = 330\\ 120 + 6x = 360 \\ 6x = 360 - 120 \\ 6x = 240 \\ x = \frac{240}{6} \\ x = 40[/tex]

[tex]3x = 3 \times 40 = 120 \\ [/tex]

[tex]x + 20 = 40 + 20 = 60[/tex]

[tex]2x + 10 = 2 \times 40 + 10 = 80 + 10 = 90[/tex]

Difference between largest & smallest angles =

[tex]120 - 60 \\ = 60[/tex]

60 is the difference the largest & the smallest angle.

For the following right triangle, find the length x

Answers

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

https://www.symbolab.com/solver/radical-equation-calculator/sin45%3D%5Cfrac%7B5%7D%7Bx%7D

please help i don’t get it :(

Answers

area is a^2
10 x 10 = 100
the area is 100 m^2

If 9/10 is multiplied by 8/9 , will the product be greater than either of the two factors?

Answers

Answer:

No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.

Answer:

No

Step-by-step explanation:

It will not be because when a number is numtiplied by one, it stays the same. However, both of these are numbers less than 1, so the product will be smaller

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Their skill at hunting has decreased the number of wood rats and storks in the area. This upset the balance of the natural ecosystem. please help i dont get it :( A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (4, 0) and (6, 0). The y-intercept of the first parabola is (0, 12). The y-intercept of the second parabola is (0, 24). What is the positive difference between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.