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Question -

The diameter of a metallic ball is 4.2cm. What is the mass of the ball,if the density of the metal is 8.9 g per cm3? (Assume π=22/7)



Answer -

Given,

Diameter of a metallicball = 4.2 cm

Radius(r) of themetallic ball, r = 4.2/2 cm = 2.1 cm

Volume formula = 4/3πr3

Volume of the metallicball = (4/3)×(22/7)×2.1 cm3

Volume of the metallicball = 38.808 cm3

Now, usingrelationship between, density, mass and volume,

Density = Mass/Volume

Mass = Density ×volume

= (8.9×38.808) g

= 345.3912 g

Mass of the ball is 345.39g (approx).

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