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Cube and Its Surface Area

A metallic cy...

Question

A metallic cylinder has radius 3 cm & height 5 cm. It is made of metal A. To reduce its weight, a conical hole is drilled at the top-centre of the cylinder, and then completely filled with a lighter metal B. The conical hole has a radius of 1.5 cm & depth of ⁸/₉ cm. Calculate the ratio of volume of metal A to volume of metal B.

A

11 : 3

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B

133 : 2

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C

121 : 3

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D

100 : 3

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E

121 : 2

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Solution

The correct option is
C

$133 : 2$

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