Question

If a cylinder has r= 10 inches and a volume of 6283 cubic inches to the nearest cubic inch what is the height of the cylinder to the nearest inch

Answer 1

The height of the cylinder round to the nearest cubic inch is 10 inches

Answer 2

20 inches.

Explanation:

We have been given that the radius of a cylinder is 10 inches and volume is 6283 cubic inches. We are asked to find the height of the cylinder to the nearest inch.

`\text{Volume of cylinder}=\pi r^2h`

`\text{6283 inch}^3=\pi (10\text{ inch})^2h`

Switch sides:

`\pi (10\text{ inch})^2h=\text{6283 inch}^3`

`100\pi\text{ inch}^2h=\text{6283 inch}^3`

`\frac{100\pi\text{ inch}^2h}{100\pi\text{ inch}^2}=\frac{\text{6283 inch}^3}{100\pi\text{ inch}^2}`

`h=19.999410\text{ inches}`

`h\approx 20\text{ inches}`

Therefore, the height of the cylinder is approximately 20 inches.