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.)

1 answer

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.