What is the radius of a hemisphere with a volume of 165, cm, cubed, comma165 cm

3
, to the nearest tenth of a centimeter?

1 answer

The volume of a hemisphere is given by the formula V = (2/3)πr^3, where r is the radius of the hemisphere.

Given that the volume is 165 cm^3, we can plug in this value and solve for the radius:

165 = (2/3)πr^3
r^3 = (3/2) * 165 / π
r = ((3/2) * 165 / π)^(1/3)

r ≈ 3.9 cm

Therefore, the radius of the hemisphere with a volume of 165 cm^3 is approximately 3.9 cm.