A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for pi.(1 point)

(blank) cubic inches

1 answer

To find the volume \( V \) of a cylinder, we use the formula:

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

where \( r \) is the radius and \( h \) is the height. In this case, the height \( h \) is 6 inches and the radius \( r \) is 3 inches.

Using \( \pi \approx 3.14 \):

  1. Calculate the area of the base:

\[ r^2 = 3^2 = 9 \]

  1. Then, calculate the volume:

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

Calculating \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now, substituting this back into the volume equation:

\[ V = 3.14 \times 54 \]

Calculating \( 3.14 \times 54 \):

\[ 3.14 \times 54 = 169.56 \]

Thus, the volume of the can is:

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