If the radius of the shape is 9 yds and the height is 17 yards, what is the volume? use π, not 3.14

1 answer

To find the volume of a cylinder, you can use the formula:

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

where:

  • \(V\) is the volume,
  • \(r\) is the radius,
  • \(h\) is the height.

Given that the radius \(r\) is 9 yards and the height \(h\) is 17 yards, we can substitute these values into the formula:

\[ V = \pi (9)^2 (17) \]

Calculating \(9^2\):

\[ 9^2 = 81 \]

Now substitute this back into the volume formula:

\[ V = \pi (81) (17) \]

Next, calculate \(81 \times 17\):

\[ 81 \times 17 = 1377 \]

Now substitute \(1377\) back into the equation for volume:

\[ V = 1377\pi \]

Thus, the volume of the cylinder is:

\[ \boxed{1377\pi} \text{ cubic yards} \]