Question

A cylinder has a height of 16 yards. Its base has a radius of 7 yards.

Find its volume, in cubic yards, to the nearest tenth. Use 3.14 or the
calculator value for pi.

Answer 1

`\boxed {\boxed {\sf v= 2463.0 \ yd^3}}`

Explanation:

The volume of a cylinder is found using the following formula:

`v= \pi r^2h`

The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.

`v= \pi* (7 \ yd)^2 * 16 \ yd`

Solve the exponent.

• (7 yd)²= 7 yd* 7 yd= 49 yd²

`v= \pi * 49 \ yd^2 *16 \ yd`

Multiply the three numbers together.

`v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3`

Round to the nearest tenth.

• 
  `2463.0\underline0864041`

The 0 in the hundredth place tells us to leave the 0 in the tenth place.

`v= 2463.0 \ yd^3`

The volume of the cylinder is 2463.0 cubic yards.