Question

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is
Sem. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm
are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped
in the vessel​

Answer 1

Answer:

Radius of cone =5cm

Height of cone =8cm

Radius of sphere=0.5cm

Volume of cone is,

=

3

1

πr

2

h

=

3

1

π×5

2

×8

=

3

200

πcm

3

Volume of lead shot =

3

4

πr

3

=

3

4

π×0.5

3

=

6

1

πcm

3

∴ number of lead shots =

3

200

π×

4

1

÷

6

1

π

=

3

50π

×

π

6

=100