Question

A measuring cylinder is filled with 60 ml of water. A solid with mass 16 g is then lowered into the cylinder. The water level rises to 68 ml. Determine the density of the solid.

Answer 1

Density of the object is given as

p= 2 x 106 kg/m³

Explanation:

As we know that initial volume of the water in the cylinder is

V₁ = 50mL

Now when the solid mass is lowered into the water then its level rises to

Vf = 58mL

now we know that

volume displaced by the solid = volume of the object

So we have

Vdisp = V₁ - Vi

Vdisp = 5850 = 8mL = 8 x 10^3-6m³

now density of the object is ratio of mass and volume

so we have

p=m/Vdisp

P=16/8x10-6

p = 2 x 106 kg/m³