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

Algebra ->  Circles -> 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      Log On


   

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(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
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
~~~~~~~~~~~~~~~ 

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.