A ball of maximum radius is cut from a cube of rubber of sides 10 cm. What will be the remaining

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05 Mar 2010 Cube Volume

A ball of maximum radius is cut from a cube of rubber of sides 10 cm. What will be
the remaining volume of rubber?
(Volume of sphere is given by the formula V = 4.19r^3 )

OPtion

1) 573.75
2) 523.75
3) 476.25
4) 423.25
5) 378.25
6) 453.75
7) 435.75
8) 421.25
9) 456.25
10) 534.75

Solution

Volume of rubber ball = 4.19r3 = 4.19 * 53 = 523.75
Remaining volume of rubber = 1000 – 523.75 = 476.25

Correct Option: 3 Best Solution (8)