Question

A measuring cylinder is filled with water up to a level of 30 ml. A solid body is immersed in it so that the level of water rises to 37 ml. Now the solid body is tied with a cork and then immersed in water so that the water level rises to 40 ml. Find the volume of the solid body and the cork.

Answer 1

Level of water in measuring cylinder = V₁ = 30 ml
Level of water in measuring cylinder when a solid body is immersed in it V₂ = 37 ml
Level of water in measuring cylinder when a cork tied with the solid is immersed in water = V₃ = 40 ml
Volume of solid body = V₂ – V₁ = 37 – 30 = 7 ml or 7 cm³
Volume or cork = V₃ – V₂ = 40 – 37
= 3 ml or 3 cm³ .........[∵ 1 ml = 1 cm³]