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A rectangular block of lead is going to be melted to mould spherical balls with a radius of 3.5 cm each. The dimensions of the block are 45 cm x 51 cm x 63 cm. How many balls can be made? Use 3.14 for л.

Verified Answer :

mhanifa

805 balls

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Calculate the volume of the lead block:

  • V = lwh = 455163 = 144585 cm³

Calculate the volume of each spherical ball:

  • V₁ = (4/3)πr³ = (4/3)3.14(3.5)³ = 179.50 cm³

Divide the volume of the lead block by the volume of each ball to find the number of balls that can be made.

  • 144585/179.5 = 805

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