CAT 2019 Geometry & Mensuration Question (Medium)

Question

A gold ingot in the shape of a cylinder is melted and the resulting molten metal molded into a few identical conical ingots. If the height of each cone is half the height of the original cylinder and the area of the circular base of each cone is one fifth that of the circular base of the cylinder, t

Optima Learn · Accepted Answer

Let the cylinder have base radius R and height H. Volume of the cylinder is V_ pi R 2 H. Each cone has height H 2 and base area equal to one-fifth that of the cylinder pi r 2 5 pi R 2 Rightarrow r 2 5 . Volume of each cone is V_ 3 pi r 2 cdot 2 3 cdot 5 cdot 2 30 . Number of conical ingots formed is

CAT 2019 Geometry & Mensuration — Previous Year Question

CAT 2019

Quantitative

Geometry & Mensuration

Medium

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