Question

What is the volume of the cone in cubic centimeters? Use 3.14 for
pi. Round your answer to the nearest tenth. (1 point) r is 5cm and there is a 9

Answer 1

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.

You provided \( r = 5 \) cm and \( h = 9 \) cm. Plugging these values into the formula gives:

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

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 again:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now divide by 3:

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

Therefore, the volume of the cone is approximately:

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