SOLUTION: 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

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Question 1188290: 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
Answer by ikleyn(53937) About Me  (Show Source):
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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,  %284%2F3%29%2Api%2A3%5E3,  and divide it by the area of the glass bottom, pi%2A3%5E2.


The ratio, which you get, will be your answer:  %284%2F3%29%2A3 = 4 centimeters.

Solved and explained.