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A vessel is in the form of an inverted cone. Its height is 11 inch and radius of its top, which is open, is 2.5 inch. It is filled with water up to brim. When some lead shots, each of which is a sphere of radius 0.25 inch, are dropped into the vessel, 2/5 of the water flows out. What is the number of lead shots dropped into the vessel?
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A cylindrical can of internal radius 21 inch contains water. A solid sphere whose diameter is 10.5 inch is lowered into the cylindrical can. The sphere is completely immersed in water. What is the rise in water level?
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A solid consisting of a cylinder surmounted by a cone at one end and a hemisphere at other end of radius 3.5 inch. The height of the cylinder is 6.5 inch and the height of the solid is 12.8 inch. What is the volume of the cylinder?
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A conical vessel of radius 6 inch and height 8 inch is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides it is just immersed. What fraction of water overflows?
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| A cylindrical pan of diameter 21 inch and height 20 inch contains water up to a depth of 8 inch. A solid cylinder of diameter 14 inch and height 16 inch is placed upright in the cylindrical pan. Find |
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a)The area of the upper surface of water
b)The rise in the level of water
c)How much more water is required to just cover the solid cylinder?
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Water flows through a pipe of radius 0.6 inch at 8 inch per second. This pipe is draining the water from a tank which holds 1000 liters of water when full. How long would it take to completely empty the tank?
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