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Question

A solid metallic cylinder of base radius 3 cm and height 5 cm  is meled to from cones each of height 1 cm and base  radius 1 mm . The number of cones is


Options:
A .  450
B .  1350
C .  4500
D .  13500
Answer: Option D

Volume of cylinder = `(pi xx 3 xx 3 xx 5) cm^3 =  45 cm^3`.

Volume of 1 cone  = `(1/3 pi xx 1/10 xx 1/10 xx 1) cm^3 =  pi/300  cm^3`

`:.`    Number of cones =` ( 45 pi xx 300/pi)` = 13500




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