The radius of the base of a conical vessel is 5 cm and its height is 24 cm. The vessel is full of water. This water is poured into a cylindrical vessel having the base radius 10 cm. The depth of the water in the cylindrical vessel is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2 cm.
The volume of the conical vessel = 1/3πr2h
⇒ 1/3 × 22/7 × 5 × 5 × 24 = 13200/21 cm3
The volume of a conical vessel = The volume of the cylindrical vessel
⇒ 13200/21 = πr2h
⇒ 13200/21 = 22/7 × 10 × 10 × H
⇒ H = (13200 × 7)/(21 × 10 × 10 × 22)
⇒ H = 2 cm