Mensuration-60

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How many lead balls each of radius 1 cm can be made from a sphere whose radius is 8 cm ?

Solution: Radius of the sphere = 8 cm

Volume of the sphere = 4 /3 Π r3 = 4/3 Π (8)3 = 4/3 Π x 512 cm3

Now radius of each ball = 1 cm

Volume of each ball = 4/3 Π x r3 = 4/3 Π x (1)cm3 = 4/3 Π cm3

Hence, number of lead balls = Volume of the sphere / Volume of the ball = 4/3 Π x 512 / 4/3 Π = 512.

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