Question
CBSEENMA9003703

The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3?

Solution

Diameter = 4.2 cm

therefore  Radius (r) = fraction numerator 4.2 over denominator 2 end fraction space cm equals 2.1 space cm
therefore   Volume = 4 over 3 πr squared
             equals 4 over 3 cross times 22 over 7 cross times left parenthesis 2.1 right parenthesis cubed equals 38.808 space cm cubed

Density = 8.9 g per cm3
Mass of the ball = Volume x Density
= 38.808 x 8.9 = 345.39 g (approx.).

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