Question

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 1

The answer will be 24 times.

Answer 2

Let volume of cylinder be K times more than volume of Cone.

⇒K × Volume of Cone = Volume of Cylinder

`K * (\pi* r^2 * h )/(3)=\pi * R^2 * H\\\\K * 5^2 * 10= 3 * 10^2 * 20\\\\250 K=3 * 100 * 20\\\\K=(6000)/(250)\\\\K=24`

⇒Number of times one needs to use the completely fill cone to completely fill the cylinder with water is=24