What is the volume of a cylinder with a radius of 5 ft. and height of 8 ft.?

To determine the volume of a cylinder, the formula used is ( V = \pi r^2 h ), where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height.

Given the radius of the cylinder is 5 feet and the height is 8 feet, you can start by calculating the radius squared:

[

r^2 = 5^2 = 25 \text{ ft}^2

]

Next, multiply the squared radius by the height:

[

25 \text{ ft}^2 \times 8 \text{ ft} = 200 \text{ ft}^3

]

Then, multiply this result by ( \pi ):

[

V = \pi \times 200 \text{ ft}^3

]

Using the approximate value of ( \pi , ( \approx 3.14 ) ):

[

V \approx 3.14 \times 200 \text{ ft}^3 = 628 \text{ ft}^3

]

This calculation confirms that the volume of the cylinder is 628 cubic feet, which corresponds to the correct answer. The correct