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
Answers
Answered by
0
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
Similar questions