Question

Find the volume of the cylinder below. Use the approximation 3.14 for pi.

(1 point)
Responses

471 square centimeters
471 square centimeters

1177.5 centimeters
1177.5 centimeters

1177.5 cubic centimeters
1177.5 cubic centimeters

235.5 cubic centimeters
235.5 cubic centimeters
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height is 15 diameter 5

Answer 1

To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( \pi \) is a constant (approximated as 3.14),
- \( r \) is the radius of the base,
- \( h \) is the height.

Given:
- The height \( h = 15 \) cm,
- The diameter \( d = 5 \) cm, so the radius \( r = \frac{d}{2} = \frac{5}{2} = 2.5 \) cm.

Now, plug the values into the formula:

\[
V = 3.14 \times (2.5)^2 \times 15
\]

First, calculate \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Now substitute back into the volume formula:

\[
V = 3.14 \times 6.25 \times 15
\]

Now calculate \( 3.14 \times 6.25 \):

\[
3.14 \times 6.25 = 19.625
\]

Now, multiply by the height \( 15 \):

\[
V = 19.625 \times 15 = 294.375
\]

Thus, the volume of the cylinder is approximately 294.375 cubic centimeters.

Based on the possible options, none of them match the result. Please check for any potential errors in the problem or the provided options.