Question

a can of peas has a height of 6 inches and a radius of 3 inches. What is the volume of the can, in cubic inches? use 3.14 for pi.

Answer 1

To find the volume of a cylindrical can, we can use the formula for the volume of a cylinder:

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

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- and \( \pi \) is approximately 3.14.

Given:
- The radius \( r = 3 \) inches,
- The height \( h = 6 \) inches.

Now, plug in the values into the formula:

\[
V = 3.14 \times (3)^2 \times 6
\]

Calculate \( (3)^2 \):

\[
(3)^2 = 9
\]

Now substitute this back into the volume formula:

\[
V = 3.14 \times 9 \times 6
\]

Now calculate \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

So now we have:

\[
V = 3.14 \times 54
\]

Next, calculate \( 3.14 \times 54 \):

\[
3.14 \times 54 = 169.56
\]

Thus, the volume of the can of peas is:

\[
\boxed{169.56} \text{ cubic inches}
\]