A hemispherical bowl of radius 38 cm is filled with water to a depth of 12 cm. Find the larest angle through which the bowl may be tipped without spilling any water.

PLEASE someone help me do this problem!! THANK YOU!

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- Feb 8th 2009, 11:20 AMTokiAnn[SOLVED] Simple Trig Question
A hemispherical bowl of radius 38 cm is filled with water to a depth of 12 cm. Find the larest angle through which the bowl may be tipped without spilling any water.

PLEASE someone help me do this problem!! THANK YOU! - Feb 8th 2009, 11:54 AMSoroban
Hello, TokiAnn!

Did you make a sketch?

Quote:

A hemispherical bowl of radius 38 cm is filled with water to a depth of 12 cm.

Find the largest angle through which the bowl may be tipped without spilling any water.

Code:`*`

*

* *

* *

* | * 38

26| θ *

*- - - - + - - - -*

*:::::12|:::::::*

*:::::|:::::*

* * *

We see that: .

Therefore: .