Question

What is the volume of the cylinder? Use 3.14 for π, and round your answer to the nearest tenth. Enter your answer in the box.

A cylinder. The diameter of the base is 5 feet and the height of the cylinder is 12 feet.

About
ft3

Answer 1

To find the volume of a cylinder, you can use the formula:

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

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

1. **Calculate the radius**: The radius \( r \) is half of the diameter. Given that the diameter is 5 feet, we have:

\[
r = \frac{5}{2} = 2.5 \text{ feet}
\]

2. **Use the height**: The given height \( h \) is 12 feet.

3. **Substitute the values into the formula**:

\[
V = 3.14 \times (2.5)^2 \times 12
\]

4. **Calculate \( (2.5)^2 \)**:

\[
(2.5)^2 = 6.25
\]

5. **Now calculate \( V \)**:

\[
V = 3.14 \times 6.25 \times 12
\]

6. **Calculate \( 3.14 \times 6.25 \)**:

\[
3.14 \times 6.25 = 19.625
\]

7. **Now multiply by the height**:

\[
V = 19.625 \times 12 = 235.5
\]

The volume of the cylinder is approximately \( 235.5 \) cubic feet.

Rounding this to the nearest tenth, the answer is:

\[
\boxed{235.5} \text{ ft}^3
\]