Question

The height of an cylinder is 10 and diameter is 3;

Here is the cylinder from the previous screen. Use paper and pencil to calculate its volume. Then enter your answer and press "Check My Work." *Please use the piπ symbol and not 3.14. Hint: You can type "pi" to get the piπsymbol.

Answer 1

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

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

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

Given the height \( h = 10 \) and the diameter \( d = 3 \), we can find the radius \( r \):

\[
r = \frac{d}{2} = \frac{3}{2} = 1.5
\]

Now, we can plug the values into the volume formula:

\[
V = \pi (1.5)^2 (10)
\]

Calculating \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

Now substituting back into the volume formula:

\[
V = \pi (2.25) (10) = 22.5\pi
\]

Thus, the volume of the cylinder is:

\[
V = 22.5\pi
\]

You can enter \( 22.5\pi \) as your answer.