SOLUTION: a hemispherical bowl, diameter of 14cm, full of water, is emptied into an empty cylindrical mug, diameter 10 cm, both measurements being internal. If the mug is now 3/4th filled, f

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Question 1116306: a hemispherical bowl, diameter of 14cm, full of water, is emptied into an empty cylindrical mug, diameter 10 cm, both measurements being internal. If the mug is now 3/4th filled, find the depth of the mug, correct to 1 decimal place.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Volume of water in the bowl





If y is the height of the water filled into the cylinder, then



Compute this. Question says that this height is of the cylinder filled, so for the height of the cylinder you are looking for .
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

If to correct all errors in the @josgarithmetic post and to complete calculations, then you will get 

Volume of water in the bowl    = 


If y is the height of the water filled into the cylinder, then   = 


y =  = 9.15 cm.


Since this level of  9.15 cm  is  of the cylinder height, 

then the height of the cylinder is  = 12.2 cm.

Solved and completed.


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