Question

Find the volume of a cylinder that has a diameter of
10
10 feet and a height of
25
25 feet. Use 3.14 for π.

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. **Find the radius**: The radius is half of the diameter. Given that the diameter is 10 feet, the radius \( r \) is:

\[
r = \frac{10}{2} = 5 \text{ feet}
\]

2. **Use the height**: The height \( h \) is given as 25 feet.

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

\[
V = 3.14 \times (5)^2 \times 25
\]

4. **Calculate \( (5)^2 \)**:

\[
(5)^2 = 25
\]

5. **Substitute back into the equation**:

\[
V = 3.14 \times 25 \times 25
\]

6. **Calculate \( 25 \times 25 \)**:

\[
25 \times 25 = 625
\]

7. **Now calculate \( 3.14 \times 625 \)**:

\[
V = 3.14 \times 625 = 1975
\]

Thus, the volume of the cylinder is

\[
\boxed{1975} \text{ cubic feet}.
\]