Question

A cylinder of radius 12cm contains water to a depth of 20cm.when a. spherical iron ball is dropped in to the cylinder the level of the water is raised by 6.75cm.find the radius of the ball ​

Answer 1

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Answer 2

Solution:-

Radius of the cylinder = 12 cm

Height of the cylinder = 6.75 cm

Let 'r' be the radius of the spherical iron ball.

Volume of the cylinder = volume of the spherical iron ball

πr²h = 4/3πr³

22/7*12*12*6.75 = 4/3*22/7*r³

3 × 12 × 12 × 6.75 = 4r³

2916 = 4r³

r³ = 2916/4

r³ = 729

r = 9 cm

So, the radius of the spherical iron ball is 9 cm.

Answer