Question

A conical paper cup with height 16 cm and base radius 6 cm is filled to the top with water. If 19/27 of the water is removed, then water level in the cup will drop by (in cm)

(1) 5\(\frac13\)

(2) 4\(\frac23\)

(3) 4\(\frac13\)

(4) 5\(\frac23\)

Answer 1

Correct answer is (1) 5 1/3

Let height of water left = h 

and volume of whole cone = V 

then volume of water left out

So, drop in water level = 16 - 32/3 = 16/3