Question

How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?

A. 2,260.8 cubic feet
B. 13,564.8 cubic feet
C. 54,259.20 cubic feet
D. 33,912 cubic feet

Answer 1

Hi,

-The correct answer should be "13,564.8 cubic feet."

Let's break down the steps to find the volume of the cylindrical tank for a clear understanding:

- 1. Given information:

• Radius of the cylindrical tank (r) = 12 feet

• Height of the tank (h) = 30 feet

- 2. Formula for the volume of a cylindrical tank:

• The volume (V) of a cylindrical tank is given by the formula: V = π × r^2 × h

• In this formula, π is a mathematical constant approximately equal to 3.14, r^2 represents the square of the radius, and h is the height of the tank.

- 3. Applying the formula:

• Substitute the given values into the formula: V = 3.14 × (12)^2 × 30

• Calculate the volume: V = 3.14 × 144 × 30

• Multiply the numbers together: V = 13,564.8 cubic feet

Therefore, the volume of the cylindrical tank is 13,564.8 cubic feet. This means that the tank can hold approximately 13,564.8 cubic feet of water.

Let me know if my answer is wrong or not what you were looking for because I would like to help all I can.

If you have any questions let me know and I may be able to help.

I hope that my answer helped you out. :)

Answer 2

To answer this, we need to use the equation for the volume of a cylinder:

`V = \pi r^(2)h`
Where:
'V' : Volume
'r' : radius
'h' : height

Now we plug in our values and solve:

`V = \pi (12)^(2)(30)`

`V = \pi (144)(30)`
V = 13571.68 cubic feet

∴Despite not being exactly what we got, the answer must be 'B'. It is the closest value to our solution without going over.

Hope this helps!