Question

You are designing a cylindrical storage container for compost. You want it to hold 110π ft and be 8 ft high. Use the formula

V=πr^2 h to find the radius of the storage container.

a) r=2 ft
b) r=3 ft
c) r=4 ft
d) r=5 ft

Answer 1

Final answer:

To find the radius of the storage container, use the formula V = πr^2h. With a volume of 110π ft and a height of 8 ft, solve for r by dividing both sides of the equation by 8π and taking the square root. The correct radius of the container is approximately 3 ft.

Step-by-step explanation:

To find the radius of the storage container, we can use the formula given: V = πr^2h. We are given that the volume of the container is 110π ft and the height is 8 ft. Substituting these values into the formula, we get 110π = πr^2 * 8. To solve for r, we can divide both sides of the equation by 8π, which gives us r^2 = 13.75. Taking the square root of both sides, we find that r ≈ 3.71 ft. So, the correct option is b) r = 3 ft.