A sphere of radius 3 cm is immersed in water contained in a vertical cylinder of radius 5 cm. Assuming the water covers the ball completely, what is the rise in the water level (in cm, up to two decimal places)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1.44
Given:
Radius of sphere = 3 cm
Radius of cylinder = 5 cm
Formula used:
Volume of sphere = (4/3)πr3 ---- (1)
Volume of cylinder = πr2h ---- (2)
Calculations:
Let the height of the cylinder be h.
Equating equation (1) and (2), we get
⇒ Volume of sphere = Volume of cylinder
⇒ (4/3) × π × 3 × 3 × 3 = π × 5 × 5 × h
⇒ 4 × 9 = 25 × h
⇒ h = 36/25 = 1.44 cm