Question

Height 9 in
Radius 5 in

What is the volume of the cone? Use 3.14 for pi.

47.1 cubic inches
235.5 cubic inches
942 cubic inches
423.9 cubic inches

Answer 1

To find the volume of a cone, we 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.

Given:
- Height (\( h \)) = 9 inches
- Radius (\( r \)) = 5 inches
- \( \pi \) = 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 that back into the equation:

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

Now calculate \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

So now we have:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now divide by 3:

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

Thus, the volume of the cone is

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