Question

You like to eat oatmeal for breakfast. The oatmeal container is a cylinder. The radius of the container is
5.1
5.1 centimeters, and the height of the container is
22.3
22.3 centimeters. What is the volume of the container? Round to the nearest whole number. 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.

Given:
- Radius (\( r \)) = 5.1 cm
- Height (\( h \)) = 22.3 cm

Now, substitute the values into the formula:

\[
V = \pi (5.1)^2 (22.3)
\]

First, calculate \( (5.1)^2 \):

\[
(5.1)^2 = 26.01
\]

Now, multiply this by the height (22.3):

\[
26.01 \times 22.3 = 580.823
\]

Now, substitute back into the volume formula:

\[
V = \pi \times 580.823
\]

Thus, the volume of the container is:

\[
V \approx 580.823\pi
\]

Rounding to the nearest whole number:

\[
580.823 \approx 581
\]

Therefore, the final answer in terms of \(\pi\) is:

\[
V \approx 581\pi \, \text{cubic centimeters}
\]