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)
cubic centimeters
hight 9cm radius 5cm

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 and \( h \) is the height of the cone.

Given:
- Height \( h = 9 \) cm
- Radius \( r = 5 \) cm
- Using \( \pi \approx 3.14 \)

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 substitute back into the volume formula:

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

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now substitute that in:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now divide by 3:

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

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

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