Question

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is

पर्याय

•  1 : 3

• 3 : 1

• 4 : 3

• 3 : 4

Answer 1

The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as

Volume of cone =  `1/3pir^2h`

And, the formula of the volume of a cylinder with base radius ‘r’ and vertical height ‘h’ is given as

Volume of cylinder= ` pi r^2 h`

Now, substituting these to arrive at the ratio between the volume of a cylinder and the volume of a cone, we get `("Volume of cylinder " )/("Volume of cone") = (3 pi r^2h)/(pi r^2h)`

`=3/1`