Question

What is the diameter of a hemisphere with a volume of 69292 in, to the nearest tenth of an inch?

Answer 1

To find the diameter of a hemisphere with a given volume, we first need to find the radius of the hemisphere using the formula for the volume of a hemisphere:

V = (2/3) * π * r^3

Given that the volume of the hemisphere is 69292 in^3, we can rearrange the formula to solve for the radius:

69292 = (2/3) * π * r^3
69292 = (2/3) * 3.14 * r^3
r^3 = 69292 / (2 * 3.14 * 2/3)
r^3 = 69292 / (4.188)
r^3 = 16530.7
r ≈ 25.4 inches

Now that we have the radius of the hemisphere, we can find the diameter by multiplying the radius by 2:

d = 2 * r
d = 2 * 25.4
d = 50.8 inches

Therefore, the diameter of the hemisphere with a volume of 69292 in^3 is approximately 50.8 inches.