Question

the ratio of the volume of a cone and cylinder of equal base radius and the same height is ​

Answer 1

Step-by-step explanation:

Given.

A cone, a hemisphere, and a cylinder stand on equal bases.

Hence radius of base of cone = radius of hemisphere = radius of cylinder=r

And,

They also have same height =h

Hight of cone =h

Hight of cylinder=h

Hight of Hemisphere r=h   (r is the radius of sphere)

Now,

Volume of cone  VC=31πr2h...….(1)

Volume of hemisphere VH=32πr2×r

                                              =32πr2×h

                                       VH=32πr2h…….(2)

Volume of cylinder Vc=πr2h...…..(3)

From equation 1,2 and 3

VC:VH:Vc=31πr2h:32πr2h:πr2h

VC:VH:Vc=31