Question

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

(1 point)
Responses

942 cubic inches
942 cubic inches

423.9 cubic inches
423.9 cubic inches

47.1 cubic inches
47.1 cubic inches

235.5 cubic inches
235.5 cubic inches
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Item
1
hight 9in radius 5in

Answer 1

To find 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 a mathematical constant (approximated as 3.14 in this case).

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

Now plug in the values:

\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9
\]

First, calculate \( (5)^2 \):

\[
(5)^2 = 25
\]

Now substitute back into the formula:

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

Calculate \( 3.14 \times 25 \):

\[
3.14 \times 25 = 78.5
\]

Now multiply that by 9:

\[
78.5 \times 9 = 706.5
\]

Finally, divide by 3:

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

Thus, the volume of the cone is:

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