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

Solution:

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

⇒K × Volume of Cone = Volume of Cylinder

$K \times \frac{\pi\times r^2 \times h }{3}=\pi \times R^2 \times H\\\\K \times 5^2 \times 10= 3 \times 10^2 \times 20\\\\250 K=3 \times 100 \times 20\\\\K=\frac{6000}{250}\\\\K=24$

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