Find the number of lead balls of diameter 2 cm each, that

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Find the number of lead balls of diameter 2 cm each, that can be made from a sphere of diameter 16 cm. ?

1. 2048
2. 2055
3. 2058
4. None of the above

Correct Option: D

Radius of the sphere = 16/2 = 8 cm
Volume of the sphere = (4/3) x π x 8 x 8 x 8 cm³
Radius of each lead ball = 2/2 = 1 cm
Volume of each lead ball = Volume of sphere / Volume of lead ball
= (4/3) π x 1 x 1 x 1 = 4π/3 cm³
∴ Number of lead balls = [(4/3) x π x 8 x 8 x 8 x 3] / [4 π]
= 8 x 8 x 8 = 512