Question

the height is 9
the radius is 5
What is the volume of the slianghted cone? Use 3.14 for pi.

(1 point)
Responses

423.9 cubic inches
423.9 cubic inches

235.5 cubic inches
235.5 cubic inches

47.1 cubic inches
47.1 cubic inches

942 cubic inches
942 cubic inches
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Answer 1

To calculate 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, \( h \) is the height, and \( \pi \) is approximately \( 3.14 \).

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

Plugging these 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 volume formula:

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

Calculating \( 25 \times 9 \):

\[
25 \times 9 = 225
\]

Now substituting that back into the formula:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now dividing by 3:

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

So, the volume of the slanted cone is:

**235.5 cubic inches.**

Thus, the correct response is:

**235.5 cubic inches**.