Hondo wants to buy a rain barrel. Solve for the volume of the barrel if the height is 37 inches and the diameter is 22 inches.(1 point) Responses 2,555.96 inches3 2,555.96 inches cubed 1,277.98 inches3 1,277.98 inches cubed 14,057.78 inches3 14,057.78 inches cubed 56,231.12 inches3
The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height.
Given:
Diameter = 22 inches
Radius = 22/2 = 11 inches
Height = 37 inches
V = π(11)^2(37)
V = π(121)(37)
V = 4487π
Using π = 3.14159, approximate volume is:
V ≈ 4487 * 3.14159
V ≈ 14115.65 inches^3
Therefore, the closest option is 14,057.78 inches^3.