Question

volume of cylindrical water tank with diameter of 8 feet and height of 12 feet

Answer 1

To calculate the volume of a cylindrical water tank, you can use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14159.

Given:
- Diameter of the tank = 8 feet, so the radius \( r \) is half of that: \( r = \frac{8}{2} = 4 \) feet.
- Height \( h = 12 \) feet.

Now, plug in the values into the formula:

\[
V = \pi (4)^2 (12)
\]
\[
V = \pi (16)(12)
\]
\[
V = \pi (192)
\]
\[
V \approx 3.14159 \times 192 \approx 602.88 \text{ cubic feet}
\]

Thus, the volume of the cylindrical water tank is approximately **602.88 cubic feet**.