Question

1. 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 ..
​

Answer 1

Answer:

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