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The Height of a Cone is 15 Cm. If Its Volume is 500 π Cm3, Then Find the Radius of Its Base. - Mathematics

Answer in Brief

The height of a cone is 15 cm. If its volume is 500  π cm3, then find the radius of its base.

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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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 20 Surface Areas and Volume of A Right Circular Cone
Q 1 | Page 23
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