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Question
A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have maximum of 2156 cm3 of ball bearings. Find the:
- maximum number of ball bearings that each box can have.
- mass of each box of ball bearings in kg.
(use π = `22/7`)
Solution
a. No. of ball bearings = `2156/(4/3 xx π xx r^3)`
= `2156/(4/3 xx 22/7 xx (7/10)^3`
= `(2156 xx 3 xx 7 xx 10 xx 10 xx 10)/(4 xx 22 xx 7 xx 7 xx 7)`
= 1500
b. Mass of each box = 4 gm × 1500 = 6 kg
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