Question

A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold?
Question 17 options:

A)

127,170 cu. ft.

B)

15,896.25 cu. ft.

C)

31,792.5 cu. ft.

D)

675 cu. ft.

Answer 1

To find the volume of a cylindrical tank, we can use the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

In this case, the radius \( r \) is 15 feet and the height \( h \) is 45 feet.

Now, we can calculate the volume:

1. Calculate \( r^2 \):
\[
r^2 = 15^2 = 225
\]

2. Plug the values into the volume formula:
\[
V = \pi \times 225 \times 45
\]

3. Calculate \( 225 \times 45 \):
\[
225 \times 45 = 10,125
\]

4. Multiply by \( \pi \) (approximately \( 3.14159 \)):
\[
V \approx 3.14159 \times 10,125 \approx 31,792.5 \text{ cubic feet}
\]

Thus, the volume of the tank is approximately **31,792.5 cubic feet**.

The correct answer is:
C) 31,792.5 cu. ft.