Question

Sam has a cylindrical storage container 7 inches tall with a radius of 5 inches. How much cat litter will fit in the container? Round your answer to the nearest tenth.

cubic inches

Answer 1

To find the volume of a cylindrical storage container, we can use the formula:

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

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

Given:
- Height (\( h \)) = 7 inches
- Radius (\( r \)) = 5 inches

Now, we can substitute these values into the formula:

\[
V = \pi (5)^2 (7)
\]

Calculating \( (5)^2 \):

\[
(5)^2 = 25
\]

Next, we substitute back into the volume formula:

\[
V = \pi (25)(7)
\]

Calculating \( 25 \times 7 \):

\[
25 \times 7 = 175
\]

So now we have:

\[
V = 175\pi
\]

Now we will calculate the numerical value of \( V \):

Using the approximation \( \pi \approx 3.14 \):

\[
V \approx 175 \times 3.14 \approx 549.5
\]

Rounding to the nearest tenth, the volume of the cylindrical storage container is:

\[
\boxed{549.5} \text{ cubic inches}
\]