Question

What is the radius of a hemisphere with a volume of 10470 in?, to the nearest tenth

of an inch?

Answer 1

r ≈ 17.1 in

Explanation:

Volume Of Hemisphere: 10,470

Volume Of Sphere: 20,940

Volume Of A Sphere: V = 4/3π(r)^3

20,940 = (4.1887902)r^3 [Evaluate 4/3π In Calc]

20940 = (4.1887902)r^3

4.1887902 4.1887902

4999.0567625 = r^3

∛4999.0567625 = ∛r^3

17.0986841 = r

Final Answer:

r≈17.1 in