What is the radius of a hemisphere with a volume of 49037 ft 3 , to the nearest tenth of a foot?

Answer 1

The volume of a sphere is given by the equation: V = 4/3 * pi 8 r³

A hemisphere's volume would be given by 1/2 the volume of a sphere: V = 1/2 * (4/3 * pi * r³)

Substitute 49037 for V and solve for r

1/2 * (4/3 * pi * r³) = 49037

2/3 * pi * r³ = 49037

r = ( (3 * 49037) / (2 * pi) )^1/3

r = 28.6 ft

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