12 spherical balls of radius 10 cm are dropped in a bucket which is full of water up to the brim. The water flowed out is collected in a cylindrical jar of radius 20 cm. What is the height (in cm) of the water in the jar? (Take π = 22/7)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 40.
Given:
Radius of balls = 10 cm
Number of balls = 12
Radius of cylindrical jar = 20 cm
Formula used:
Volume of sphere = (4/3)πr3
Volume of cylinder = πR2h
Calculations:
According to the question;
Volume of cylinder = 12 × Volume of sphere
⇒ π × R2 × h = 12 × (4/3) × π × r3
⇒ 202 × h = 16 × 103
⇒ h = 40 cm