A bowl is the shape of a hemisphere

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Question from josh, a student:

a bowl is the shape of a hemisphere with diameter 30 cm and water is poured into the bowl to a height h cm. how do i find the volume of the water in the bowl

Hi Josh,

I can get you started.

I would imagine the bowl upside down so that I am dealing with positive numbers.

sphere

I then see this as a volume of revolution using circular disks.

circle

Can you see how to proceed?

If you need further assistance write back.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.