Question

A cone with the height of 9cm and radius of 5cm is shown

What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)
cubic centimeters

Answer 1

The volume \( V \) of a cone can be calculated using the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

Where:
- \( r \) is the radius of the base of the cone,
- \( h \) is the height of the cone,
- \( \pi \) is approximately 3.14.

Given:
- Height \( h = 9 \) cm
- Radius \( r = 5 \) cm

Substituting the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (5^2) \times 9
\]

Calculating \( 5^2 \):

\[
5^2 = 25
\]

Now substituting back into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 25 \times 9
\]

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now substituting this value:

\[
V = \frac{1}{3} \times 3.14 \times 225
\]

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Finally, calculating:

\[
V = \frac{706.5}{3} = 235.5
\]

Rounding to the nearest tenth, the volume of the cone is:

\[
\boxed{235.5} \text{ cubic centimeters}
\]