Water in a hemispherical bowl

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Question from Jimmy, a student:

A bowl of water, being a hemisphere has a radius of 36cm.
Water is filled in the bowl and has depth of 18 cm.
Find the surface area of the water?

Hi Jimmy,

I drew a diagram of your bowl.

bowl

AB is a radius of the bowl so its length is 36 cm. The depth of the water is 18 cm so the length of AB is 18 cm. ABC is a right triangle. What does Pythagoras Theorem tell you about the length of BC?

Penny

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