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Question

How many spherical bullets can be made out of a lead cylinder  15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter ?


Options:
A .  6000
B .  6480
C .  7260
D .  7800
Answer: Option B

Volume of cylinder = `pi xx (3)^2 xx 15 = 135 pi cm^3`

Radius of 1 bullet = `5/2 mm = 5/20 cm = 1/4 cm`

Volume of 1bullet = `(4/3 pi xx 1/4 xx 1/4 xx 1/4) cm^3 =  pi/48 cm^3`

`:.`      Number of bullets = `(135 pi xx 48/pi)` = 6480.




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