Question

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 symbol and not 3.14.
Hint: You can type "pi" to get the symbol.
so the hight is 10 base is 3

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 base, and \( h \) is the height of the cylinder.

Given:
- Height (\( h \)) = 10
- Base (diameter) = 3, so the radius (\( r \)) = \frac{3}{2} = 1.5

Now, substitute \( r \) and \( h \) into the formula:

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

First, calculate \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

Now, substitute back into the volume formula:

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

Multiply \( 2.25 \) by \( 10 \):

\[
V = \pi (22.5)
\]

Thus, the volume \( V \) is:

\[
V = 22.5\pi
\]

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