SOLUTION: The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centim

Algebra ->  Volume -> SOLUTION: The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centim      Log On


   

Question 986735: The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.
The number of times one needs to use the completely filled cone to completely fill the cylinder with water is
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
V%5Bcylinder%5D = pi%2Ar%5B1%5D%5E2%2Ah%5B1%5D = pi%2A10%5E2%2A20.

V%5Bcone%5D = 1%2F3pi%2Ar%5B2%5D%5E2%2Ah%5B2%5D = pi%2A5%5E2%2A10.

V%5Bcylinder%5D%2FV%5Bcone%5D = 3.%2810%5E2%2A20%29%2F%285%5E2%2A10%29 = 3%2A2%5E2%2A2 = 3*4*2 = 24.

Answer.  24 times.