Question

The radius of the base of a cylinder is 10 centimeters and it hights is 29 centimeters a cone is used to fill the cylinder with water the radius of the cone base is 5 centimeters and it highs 10 centimeters the number of times one need to use the completely filled come to completely filled the cylinder with water

Answer 1

34.8 times

Explanation:

Cone

Base Radius of the Cone = 5cm

Height of the Cone = 10cm

Volume of a one
`=\frac13\pi r^2 h`

Volume

`=\frac13* \pi * 5^2* 10\\=(250)/(3)\pi $ cm^3`

Cylinder

Base Radius of the Cylinder = 10cm

Height of the Cylinder = 29cm

Volume of a Cylinder
`=\pi r^2 h`

Volume

`=\pi * 10^2 * 29\\=2900\pi$ cm^3`

`\frac{\text{Volume of Cylinder}}{\text{Volume of Cone}}=(2900\pi)/((250)/(3)\pi )\\=2900 * (3)/(250)\\=34.8`

A full cone will be used 34.8 times to fill the cylinder with water.