Question

A Soli considing of a right circube cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm 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, is 180 cm.,( use
$\pi = 22 \div 7$
​

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