1.

a shot put is a metallic sphere of radius 4.9cm if density of the metal is 7.8g/cubic cm. find the mass of shot put​

Answer»

Given :

To Find :

  • Mass of the shot put = ?

SOLUTION :

  • Radius of sphere = 4.9 cm
  • Density = 7.8 g/cm³

Let's find the volume of sphere :

→ Volume of sphere = 4/3 πr³

→ Volume of sphere = 4/3 × 22/7 × 4.9 × 4.9 × 4.9

→ Volume of sphere = 4/3 × 22 × 0.7 × 4.9 × 4.9

→ Volume of sphere = 4/3 × 22 × 16.8

→ Volume of sphere = 1478.4 ÷ 3

→ Volume of sphere = 492.8 cm³

  • Hence,the volume of sphere is 492.8 cm³.

Finding the mass of the shot put :

→ Density = Mass ÷ Volume

→ Density × Volume = Mass

→ Mass = 7.8 × 492.8

→ Mass = 3,843.84 g

→ Mass = 3.844 KG

  • Hence,the mass of the shotput is 3.844 kg.


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