Here is the cylinder from the previous screen.

Question

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.