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A glass of water 12 cm high, with a circumference of 6π cm, is 1/2 full.
A metal sphere of radius 3 cm is dropped into the glass (it just fits).
What is the increase in the height of the water in the glass, in cm?
A) 3.5 B) 4 C) 4.5 D) 5 E) 5.5
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Take the volume of the sphere, , and divide it by the area of the glass bottom, .
The ratio, which you get, will be your answer: = 4 centimeters.
Solved and explained.