Question

Cylinder radius 12height 20 iron ball is dropped in cylinder level increaae 6.75find radiusof ball

Answer 1

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.

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Answer 2

We know, Volume of the cylinder will be equal to volume of iron ball and radius of the base and iron ball will be same.

so,

πr²h = 20× 4/3 πr³

cancel πr² both sides

h = 4r/3 × 20

3h = 80r

r = 3h/80

r = (3×6.75+10) / 80

r = 32.25 / 80

Radius = 0.4 cm