What is the diameter of a hemisphere with a volume of 85962 ft^3, to the nearest tenth of a foot?

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

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

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step-by-step explanation: