SOLUTION: A cylindrical glass that is 10 cm tall and has a diameter of 7cm, is filled with water to a height of 9cm. If a ball 5 cm in diameter into the class and sinks to the bottom, will t

Algebra ->  Volume -> SOLUTION: A cylindrical glass that is 10 cm tall and has a diameter of 7cm, is filled with water to a height of 9cm. If a ball 5 cm in diameter into the class and sinks to the bottom, will t      Log On


   

Question 1032473: A cylindrical glass that is 10 cm tall and has a diameter of 7cm, is filled with water to a height of 9cm. If a ball 5 cm in diameter into the class and sinks to the bottom, will the water in the glass overflow? if so, how much water will be lost? explain your answer and justify
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Find the initial empty space in the cylindrical glass.
1%2Api%2A%287%2F2%29%5E2
49pi%2F4

Find the volume of the ball.
%284%2F3%29pi%2A%285%2F2%29%5E3
%284%2A125pi%29%2F%283%2A8%29
%28125pi%29%2F%283%2A2%29
125pi%2F6

Compare the two volumes.
GlassEmptySpace, %2849%2F4%29pi
-
Ball, %28125%2F6%29pi


Find the difference %28125%2F6%29pi-%2849%2F4%29pi.