Answer: D= 69.0
Step-by-step explanation: Recall that the volume of a sphere is V = (4/3)πr^3
A hemisphere is half of a sphere, so the volume of a hemisphere is V = (1/2)(4/3)πr^3 or V = (2/3)πr^3
Now we can plug in the volume given to us by the problem to solve for the radius r
V = (2/3)πr^3
85962 = (2/3)πr^3
Use your calculator to multiply by 3, divide by 2π, and take the cube root to find r.
r ≈ 34.4947
The diameter is twice the radius, so
d ≈ 69.0