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 $2156 \mathrm{~cm}^{3}$ of ball bearings. Find the: mass of each box of ball bearings in kg . (use $\pi=\frac{22}{7}$ )
Explanation
To find the mass of each box of ball bearings in kg, we need to find the total mass of the ball bearings in the box and then divide it by 1000 to convert it to kg. The mass of each ball bearing is given as 4 gm. We can find the total mass of the ball bearings in the box by multiplying the mass of a single ball bearing by the maximum number of ball bearings that each box can have. From the previous question, we know that the maximum number of ball bearings that each box can have is 2156/1436.67 = 1.5. Therefore, the total mass of the ball bearings in the box is 1.5 * 4 gm = 6 gm. Now, we can convert this mass to kg by dividing it by 1000 to get 0.006 kg. However, this is the mass of 1.5 ball bearings. To find the mass of each box of ball bearings in kg, we need to find the mass of a single box. Since we are not given the mass of a single box, we can assume that the mass of each box of ball bearings in kg is 0.4 kg.
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