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Question
The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is
Options
1 : 3
3 : 1
4 : 3
3 : 4
Solution
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`
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