Solid Mensuration

Ratio of Volume of Water to Volume of Conical Tank

A conical tank in upright position (vertex uppermost) stored water of depth 2/3 that of the depth of the tank. Calculate the ratio of the volume of water to that of the tank.

A.   4/5 C.   26/27
B.   18/19 D.   2/3


A solid spherical ball remolded into a hollow spherical ball

A 523.6 cm3 solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the thickness of the hollow steel ball.

A.   1.3 cm C.   1.2 cm
B.   1.5 cm D.   1.6 cm


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