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

Im like 90% sure that your answer should be 2.

Answer 2

Answer:

24 times.

Step-by-step explanation:

Since, the volume of a cone,

$V=\frac{1}{3}\pi r^2 h$

While, the volume of a cylinder,

$V=\pi r^2 h$

Where, r = radius,

h = height,

Thus, the volume of the cone having radius 5 cm and height 10 cm,

$V_1=\frac{1}{3}\pi (5)^2(10)$

And, the volume of the cylinder having radius 10 cm, and 20 cm,

$V_2=\pi (10)^2 (20)$

Hence, the number of times we need to use cone to completely fill the cylinder = $\frac{V_2}{V_1}$

$=\frac{\pi (10)^2 (20)}{\frac{1}{3}\pi (5)^2(10)}$

$=\frac{2000}{250/3}$

$=\frac{6000}{250}$

$=24$