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
56,231.12 inches3
56,231.12 inches cubed
1,277.98 inches3
1,277.98 inches cubed
2,555.96 inches3
2,555.96 inches cubed
14,057.78 inches3
The correct answer is 56,231.12 inches cubed.
To calculate the volume of a cylinder (such as a rain barrel), you use the formula V = πr^2h, where r is the radius and h is the height.
Given that the diameter is 22 inches, the radius (r) is half of that, which is 11 inches. So, r = 11 inches and h = 37 inches.
Plugging these values into the formula:
V = π * 11^2 * 37
V = π * 121 * 37
V = 56,231.12 inches cubed
Therefore, the volume of the rain barrel is 56,231.12 inches cubed.