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Question
The height of a cone is 15 cm. If its volume is 500 π cm3, then find the radius of its base.
Solution
The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as
Volume of cone = `1/3 pi r^2 h`
It is given that the height of the cone is ‘h’ = 15 cm and that the volume of the cone is ` 500 pi cm^3`
We can now find the radius of base ‘r’ by using the formula for the volume of a cone.
`r^2 = (3("Volume of the cone "))/(pih) `
`=(3(500 pi))/(pi(15))`
`r^2`= 100
r = 10
Hence the radius of the base of the given cone is 10 cm .
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