Question

An oblique cone is shown with a height of 9in and radius of 5in

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

(1 point)
Responses

235.5 cubic inches
235.5 cubic inches

47.1 cubic inches
47.1 cubic inches

423.9 cubic inches
423.9 cubic inches

942 cubic inches

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, and
- \( \pi \) is approximately 3.14.

Given that the radius \( r = 5 \) inches and the height \( h = 9 \) inches, we can substitute these 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:

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

Thus, the volume of the cone is:

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