Question

Use the image to answer the question.

A 3 D cylinder shows a base radius of 3 centimeters and perpendicular height of 5 centimeters. A right angle is formed at the center of the base.

Find the volume of the cylinder, 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 cylinder, you can use the formula:

\[
\text{Volume} = \pi r^2 h
\]

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- Radius \( r = 3 \) cm
- Height \( h = 5 \) cm
- Use \( \pi = 3.14 \)

Now plug in the values:

\[
\text{Volume} = 3.14 \times (3)^2 \times 5
\]

Calculating \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute this back into the equation:

\[
\text{Volume} = 3.14 \times 9 \times 5
\]

Calculating \( 9 \times 5 \):

\[
9 \times 5 = 45
\]

Now substitute this back in:

\[
\text{Volume} = 3.14 \times 45
\]

Now, calculate \( 3.14 \times 45 \):

\[
3.14 \times 45 = 141.3
\]

So, the volume of the cylinder is approximately \( 141.3 \) cubic centimeters.

Finally, rounding to the nearest tenth, the volume is:

\[
\boxed{141.3} \text{ cubic centimeters.}
\]