Question

The local deli sells sandwich pepperoni. The pepperoni comes in the form of a cylinder. The radius of the pepperoni is
22
22 millimeters, and the height of the pepperoni is
110
110 millimeters. What is the volume of the pepperoni? Express your answer in terms of
π
π.



A cylinder.

Answer 1

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

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

In this case, you have:

- Radius \( r = 22 \) mm
- Height \( h = 110 \) mm

Plugging in these values into the formula:

\[
V = \pi (22)^2 (110)
\]

First, calculate \( (22)^2 \):

\[
(22)^2 = 484
\]

Now substitute this back into the volume formula:

\[
V = \pi \times 484 \times 110
\]

Now multiply \( 484 \times 110 \):

\[
484 \times 110 = 53240
\]

Thus, the volume of the pepperoni is:

\[
V = 53240\pi \text{ cubic millimeters}
\]

So, the final answer is:

\[
\boxed{53240\pi}
\] cubic millimeters.