Question

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

Answer 1

Answer:

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.

Key concept:-

Radius :- A half straight line from the centre to the circumference of a circle sphere.

Circumference :- The outer boundary of a circle is known as circumference.