SOLUTION: Steel ball bearings are melted and formed into a cylinder. The height and diameter of cylinder are equal. Determine height and diameter. Ball bearing description: number; 800

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Question 1161472: Steel ball bearings are melted and formed into a cylinder. The height and diameter of cylinder are equal. Determine height and diameter.
Ball bearing description: number; 8000. diameter; .25 in.
The bearings are spheres.
Allow 5% waste in melting process.
Volume of sphere: 4pi(r^3)/(3).


Volume of cylinder: pi * r^2 * height.
Not sure how to solve.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since the height of the cylinder is twice the radius, the volume of the cylinder can be expressed by:



This must be 95% of 8000 times the volume of a sphere with radius 0.25







But we are given

Do the arithmetic to find and then multiply by 2.


John

My calculator said it, I believe it, that settles it