Question

Volume of Cones Practice
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Question
Use the image to answer the question.

A right cone shows a base radius of 5 centimeters and a perpendicular height of 9 centimeters. A right angle is formed with the diameter and the height at the center of the circular base.

What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)

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 of the base,
- \(h\) is the height of the cone, and
- \(\pi\) is approximately 3.14.

Given:
- Radius \(r = 5\) cm
- Height \(h = 9\) cm

Now plug these values into the formula:

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

Calculate \(5^2\):

\[
5^2 = 25
\]

Then plug that back into the volume formula:

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

Calculate \(25 \times 9\):

\[
25 \times 9 = 225
\]

Now substitute that back in:

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

Now calculate \(3.14 \times 225\):

\[
3.14 \times 225 = 706.5
\]

Finally, calculate \(\frac{1}{3} \times 706.5\):

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

Rounding to the nearest tenth, the volume of the cone is approximately

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