SOLUTION: a conical vessel 11cm high having a top of 50 mm diameter is filled completely to its rim with water. some spherical pellets, each of 5 mm diameter are dropped into the vessel & th

Question 763127: a conical vessel 11cm high having a top of 50 mm diameter is filled completely to its rim with water. some spherical pellets, each of 5 mm diameter are dropped into the vessel & then 2/5 of the water overflows.how many lead pallets were dropped in the vessel?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Volume of Conical vessel = 1/3*Pi*r^2*h
50mm = 5.0cm
Volume = 1/3 * Pi * 2.5^2 * 11
Volume = 71.995cm^3
Volume of a sphere = 4/3*Pi*r^3
= 4/3*Pi*0.25^3
= 0.0654cm^3
2/5 of the water overflows.
2/5 * 71.995cm^3 overflows
=21.798cm^3 overflows.
so x * 0.0654 = 21.798
x = 21.798/0.0654
x = 333.3
So 333 spherical pellets were dropped in the vessel.
Hope this helps.
:-)
RELATED QUESTIONS
a cylinderical vessel of diameter 11cm is filled up with some water.when a cubical solid... (answered by Theo)

A conical vessel of radius 6cm and height 8cm is completely filled with water.A sphere is (answered by lwsshak3)

A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the... (answered by ikleyn,greenestamps,Alan3354)

150 spherical marbles each of diameter 1.4 cm are dropped in a cylindrical vessel of... (answered by Fombitz)

A conical tank is 12 feet deep and the diameter of the top is 8 feet. If the tank is... (answered by RAY100)

A cylindrical tank 4.67 m in diameter is placed with its axis vertical and is partially... (answered by Theo)

A cylindrical tank 4.92 m. in diameter is placed with its axis vertical and is partially... (answered by ankor@dixie-net.com)

water flow at the rate 15m per minute through a cylindrical pipe, having the diameter... (answered by Alan3354)

A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by NeedHelpUrgently,Alan3354)