Question

a solid consisting of a right circular cone of height 120cm and radius 60 cm standing on a hemisphere of radius 60cm is placed upright in a right circular cylinder full of water such that it touches the bottom find the volume of water left in the cylinder,if the radius of the cylinder is 60cm and it's height is 180cm​

Answer 1

Answer:

Given, Radius of cone=60cm

Height of cone=120cm

Radius of hemisphere=60cm

Radius of cylinder=60cm

Height of cylinder=180cm

Volume of cone is,

=

3

1

πr

2

h

=

3

1

π×660

2

×120

=14000πcm

3

Volume of hemisphere is,

=

3

4

πr

3

h

=

3

2

π60

3

h

=144000πcm

3

Volume of cylinder is,

=πr

2

h

=π×60

2

×180

=648000πcm

3

Volume of water left in cylinder is

=πr

2

h−

3

1

πr

2

h−

3

4

πr

3

h

=(648000−288000)π

=360000π

=1130400cm

3