Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to it's radius . Find the volume of the solid in terms of π​

Answer 1

Answer:

search-icon-image

Class 10

>>Maths

>>Surface Areas and Volumes

>>Volume of Combined Solids

>>A solid is in the shape of a cone standi

Question

Bookmark

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

Medium

Solution

verified

Verified by Toppr

We have

Radius of the cone =r

1

=1cm

Height of the cone =h

1

=1cm

Radius of the hemisphere =r

2

=1cm

Volume of the solid = volume of the cone +volume of the hemisphere

=

3

1

πr

1

2

h

1

2

+

3

2

πr

2

3

=(

3

1

π×1

2

×1+

3

2

π×1

3

)cm

3

=π cm

3

Solve any question of Surface Areas and Volumes with:-