Question

Find the volume of a cylinder that has a radius of 6 feet and a height of 10 feet. Use 3.14 for pi ().

Answer 1

Answer:

Approximately 1130 cubic feet.

Step-by-step explanation:

The volume of a cylinder is the area of its base times its height.

The height of this cylinder is given to be 10 feet. What's the area of its base?

The base of a cylinder is a circle. The area of a circle with radius $r$ is equal to $\pi \cdot r^{2}$. For the base of this cylinder, $r = 6$ feet. The question also dictates that $\pi = 3.14$. The area of each circular base will thus be:

$\text{Base} = \pi\cdot r^{2} = 3.14 \times 6^{2} = 113.04$ square feet.

The volume of this cylinder will be

$\text{Volume} = \text{Base}\times \text{Height} = 113.04\times 10 \approx 1130$ cubic feet.