Question

A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?

Answer 1

Given that,
Diameter of jar = 10cm
Radius of jar = 5cm
Let the level of water raised by ‘h’
Diameter of spherical ball = 2cm
Radius of the ball =1cm
Volume of jar = 4(Volume of spherical)

⇒ `πr_1^2h=4(4/3πr_2^3)`

⇒`r_1^2h=4xx4/3r_2^3`

⇒`r_1^2h=4xx4/3xx1xx1xx1`

⇒`h=(4xx4xx1)/(3xx5xx5)`

⇒`h=16/75cm.`

∴ Height of water in jar`16/75`cm.