Question

A can of vegetables has radius 1.8 in. and height 6.1 in. Find the volume of the can. Use 3.14 for pi.
1.8 in.
6.1 in.
​(This figure is not to​ scale.)
Question content area bottom
Part 1
The volume of the can is about
  
enter your response here in.cubed.
​(Round to the nearest tenth as​ needed.)

Answer 1

To find the volume of a cylinder (which is the shape of the can), 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 \( r = 1.8 \) inches
- Height \( h = 6.1 \) inches
- π is approximated as 3.14

Now substituting the values into the formula:

\[
V = 3.14 \times (1.8)^2 \times 6.1
\]

First, calculate \( (1.8)^2 \):

\[
(1.8)^2 = 3.24
\]

Now substitute that back into the volume formula:

\[
V = 3.14 \times 3.24 \times 6.1
\]

Next, calculate \( 3.14 \times 3.24 \):

\[
3.14 \times 3.24 = 10.1856
\]

Now multiply this result by 6.1:

\[
10.1856 \times 6.1 = 62.13116
\]

Rounding to the nearest tenth:

\[
V \approx 62.1 \text{ in}^3
\]

Therefore, the volume of the can is approximately **62.1 in³**.