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 in to the vessel, one-fourth of
the water flows out. Find the number of lead shots
dropped in the vessel
Answers
Answered by
1
Answer:
100
Step-by-step explanation:
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
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2
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