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

1 answer

To find the volume of a cylinder (which is the shape of a can), you can use the formula:

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

where:

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

Given:

  • Height \( h = 6 \) inches,
  • Radius \( r = 3 \) inches,
  • \( \pi \approx 3.14 \).

Now, plug in the values:

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

First, calculate \( (3)^2 \):

\[ (3)^2 = 9 \]

Now, substitute back in:

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

Calculate \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now, multiply:

\[ V = 3.14 \times 54 \]

Calculating \( 3.14 \times 54 \):

\[ 3.14 \times 54 = 169.56 \]

Thus, the volume of the can is:

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