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 Question from Innocent: Abc is the section through a hemispherical bowl centre O radius 15cm. It contains water whose maximum depth is 8cm. What is the width of the water surface?

Hi,

In my diagram $S$ and $P$ are on the surface of the water so $|SP| = 8$ cm, and $|OQ| = |OP| = 15$ cm.

What is the value of $|OS|?$ Can you find $|SQ|?$ Maybe Pythagoras can help.

Penny

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