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 2,555.96 inches3 2,555.96 inches cubed 14,057.78 inches3 14,057.78 inches cubed 1,277.98 inches3
To find the volume of a cylinder (such as a rain barrel), we use the formula V = πr^2h, where r is the radius and h is the height. Since we are given the diameter, which is 22 inches, we can calculate the radius by dividing the diameter by 2: 22 inches / 2 = 11 inches.
Now we can plug in the values into the formula:
V = π(11)^2(37)
V = π(121)(37)
V = 4487π
V ≈ 14,086.15 inches^3
Rounded to the nearest hundredth, the volume of the barrel is 14,086.15 inches^3. There is not an exact match among the answer choices provided, but the closest option is 14,057.78 inches^3.