A workshop makes 5000 identical steel ball bearings, each a sphere of radius 2.1 mm. Find the total volume of steel used, expressed in cubic centimetres. (Take π = 22/7.)

Question

Accepted Answer

194.04. One ball = 4/3\π r^3 = 4/3 × 22/7 × (2.1)^3 = 38.808 mm³. For 5000 balls: 5000 × 38.808 = 194040 mm³. Since 1 cm = 10 mm, 1 cm³ = 1000 mm³, so the total is 194040 ÷ 1000 = 194.04 cm³. 194040 leaves the answer in mm³; 19.404 divides by 10000; 97.02 uses 2/3\π r^3 (a hemisphere) for each ball.

A workshop makes 5000 identical steel ball bearings, each a sphere of radius 2.1 mm. Find the total volume of steel used, expressed in cubic centimetres. (Take π = 22/7.)

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