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!
Hello, TokiAnn!
Did you make a sketch?
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: .$\displaystyle \sin\theta \:=\:\frac{26}{38} \:=\:0.684210526$
Therefore: .$\displaystyle \theta \:\approx\:41.2^o$