Question

A solid is in the form of a right circular cone
mounted on a solid hemisphere with same radius
is made from a piece of metal. The radius of the
hemisphere is 1/ 3
of the vertical height of the conical
part. If the radius of the base of the cone is r, prove
5
that the volume of the piece of metal is
5/3 pier3​

Answer 1

Answer:

hope it's help you

Step-by-step explanation:

Volume of the solid = Volume of the hemispherical part + Volume of conical part

Volume of a hemisphere of radius 'r' =

3

2

πr

3

Volume of a cone =

3

1

πr

2

h where r is the radius of the base of the cone and h is the height.

Given, r =

3

1

h=>h=3r

Hence, Volume of the solid =(

3

2

πr

3

)+(

3

1

×π×r

2

×3r)=

3

5

πr

3