Question

5. 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 5 cm. 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

Step-by-step explanation:

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Answer 2

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