Question

What is the formula to find the rise in the water level when ‘x’ spherical balls are dropped into a cylindrical beaker?

(a) \(\frac {Volume \, of \, ‘x’ \, spherical \, balls}{Base \, area \, of \, cylinder}\)

(b) \(\frac {Volume \, of \, ‘x’ \, spherical \, balls}{2(Base \, area \, of \, cylinder)}\)

(c) The volume of the cylinder + volume of the beaker

(d) The volume of the cylinder – 2(volume of the beaker)

This question was addressed to me at a job interview.

Origin of the question is Conversion of Solid from One Shape to Another topic in portion Surface Area and Volumes of Mathematics – Class 10

Answer 1

Correct option is (a) \(\frac {Volume \, of \, ‘x’ \, spherical \, balls}{Base \, area \, of \, cylinder}\)

Explanation: To find the rise in the water level we require the volume of ‘x’ spherical balls and the base area of the cylinder

Rise in the water level = \(\frac {Volume \, of \, ‘x’ \, spherical \, balls}{Base \, area \, of \, cylinder}\)