Answer:
20 inches.
Step-by-step 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.
[tex]\text{Volume of cylinder}=\pi r^2h[/tex]
[tex]\text{6283 inch}^3=\pi (10\text{ inch})^2h[/tex]
Switch sides:
[tex]\pi (10\text{ inch})^2h=\text{6283 inch}^3[/tex]
[tex]100\pi\text{ inch}^2h=\text{6283 inch}^3[/tex]
[tex]\frac{100\pi\text{ inch}^2h}{100\pi\text{ inch}^2}=\frac{\text{6283 inch}^3}{100\pi\text{ inch}^2}[/tex]
[tex]h=19.999410\text{ inches}[/tex]
[tex]h\approx 20\text{ inches}[/tex]
Therefore, the height of the cylinder is approximately 20 inches.
