The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.
Given that the volume is 52 inches cubed and the height is 8 inches:
52 = (1/3) * π * r^2 * 8
r^2 = 52 / ((1/3) * π * 8)
r^2 ≈ 2.083
Now we need to find the area of the base of the cone using the formula A = π * r^2:
A = π * 2.083
A ≈ 6.55 inches squared
Therefore, the closest option is 14.7 inches squared when rounded to the nearest tenth.
What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary.
A cone with height 8 inches and volume 52 inches cubed.
14.7 inches squared
17.3 inches squared
18.5 inches squared
19.5 inches squared
1 answer