A hemisphere is placed on top of a cylinder with the same radius. The height of the cylinder is 10 inches and the radius is 3 inches. What is the volume of the composite figure?

Answer

 Δ h = 0.06 m

Explanation:

Given,

mass of ice cube = 0.11 Kg

inside radius of cylinder = 3.70 cm

density of water = 1000 Kg/m³

density of glycerin = 1260 Kg/m³

ice cube is floating on glycerin surface,

net force on the cube is equal to zero.

Buoyant force by glycerin is equal to the weight of cube

     B = W

          h₁ = 0.0203 m

when ice melts it is completely turned into water

  Volume of mass m of water

         h₂ = 0.0803 m

distance by which height of liquid change

 Δ h = h₂ - h₁

 Δ h = 0.0803 - 0.0203

 Δ h = 0.06 m