Question

the height is 9
and the radius is 5
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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

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

Plugging in the values:

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

Calculating \( 5^2 \):

\[
5^2 = 25
\]

Now substituting that back into the equation:

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

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now substituting that back:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now dividing by 3:

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

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

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