A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e 36
Let the height to which the water rises be "h".
ATQ,
⇒ πr2H = l × b × h
⇒ π.(30)2.42 = 75 × 44 × h
⇒ h = (π × 900 × 42) / (75 × 44)
⇒ h = 36 cm