Question

What is the volume of the cone in cubic centimeters? Height is 9cm and radius is 5cm. Use 3.14 for pi. Round your answer to the nearest tenth.

Answer 1

The formula for the volume \( V \) of a cone is given by:

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

where \( r \) is the radius and \( h \) is the height.

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

Now, 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:

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

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now substituting this back into the volume equation:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now, dividing by 3:

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

Thus, the volume of the cone is:

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