1.

A metallic sphere with an internal cavity weighs `40 gwt` in air and `20 gwt` in water. If the density of the material with cavity be `8g per cm^(3)` then the volume of cavity is :A. ZeroB. `15 cm^(3)`C. `5 cm^(3)`D. `20 cm^(3)`

Answer» Correct Answer - B
Weight of sphere in air = 40 gwt
weight of sphere in water = `20 gwt`
Loss in weight = (40-20)gf = 20 gwt`
Weight of water displaced = loss of weight =20 gwt`
Mass of water displaced = `20 g`
Volume of water displaced = `20cm^(3)`
Actual volume of sphere = Volume of water displaced =`20cm^(3)`
Volume of material in the sphere = 40/8 = 5 cm^(3)`
Volume of cavity = (20-5) = 15cm^(3)`.


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