Question

a hemispherical container contains water to a depth of 10cm. If the volume of the water inside the container is 5000pi/3cm^3,find the diameter of the vessel.
(i already tried using V=2/3 pi r^3 since it is a hemisphere but my answer and the answer of the book didn't match.the answer of the book was 40cm. )Pls. Help .Thank u so much

Answer 1

recall the volume of a spherical cap, as found here:

http://en.wikipedia.org/wiki/Spherical_cap

Now just plug in your numbers.

Answer 2

A hemispherical container contains water to a depth of 10 cm. If the volume of the water inside the container is 5000π/cubic cm, find the diameter of the vessel.