Question

In a cylinder of radius 7 cm, there is water
1 cm, below from the top. When a cube is
dropped into the water, 62 cm3 of water
overflows. Find the length of the cube.

Answer 1

Reading the question very carefully

We can understand that

Volume of the iron Ball = Volume of water displaced by the Ball

thus

if the radius of ball is r

then Volume of the spherical ball = 4/3 pi r^3

                       Thus

                                     4/3 pi r^3 = 3003

                                      pi r^3 = 9009/4

                                          r^3 = 9009/4 * 3.14

                                             r = 41.35 Cm

thus radius of ball is 41.35 Cm

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