Question

Find the volume of a cylinder made by rotating a rectangle with a width of 5 feet and a length of 8. Round to the nearest whole number

Answer 1

`25.32 ft^3\\`

Explanation:

If the rectangle is folded along the shorter side then ,

the height of cylinder
`= 5 ft\\`

Perimeter of the base
`= 8 ft\\`

`2\pi r = 8\\r = 1.27\\`

Volume of the cylinder

`\pi r^(2) h\\= (3.14) (1.27 * 1.27) * 5\\= 25.322`

Answer 2

We have to find the volume of a cylinder made by rotating a rectangle. When a rectangle with a width of 5 feet and a length of 8 feet rotates it makes a cylinder with a radius: r = 5 ft and a height h = 8 ft. The volume of a cylinder: V = r^2 * Pi *h ; V = 5^2 * 3.14 * 8; V = 25 * 3.14 * 8; Answer: Volume of a cylinder is V = 628 ft^2.