Question

Find the volume of this cylinder. Please help

Answer 1

`\boxed {\boxed {\sf 384 \ ft^3}}`

Explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

`V= \pi r^2 h`

Where:

• r= radius
• h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

• r= 4 ft
• h= 8 ft
• π= 3

Substitute the values into the formula.

`V= (3)(4 \ ft)^2 (8 \ ft)`

Solve the exponent.

• (4 ft)²= 4 ft * 4 ft = 16 ft²

`V= (3)(16 \ ft^2)(8 \ ft)`

Multiply the three numbers together.

`V= 48 \ ft^2 (8 \ ft)`

`V= 384 \ ft^3`

The volume of the cylinder is approximately 384 cubic feet.