SOLUTION: Ref. Question 1058808 Follow-up: Determine number of glass marbles produced from 15 lbs. of material, allowing 5% for waste. The marbles are 1.5 in. in diameter. Volume of

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Question 1058811: Ref. Question 1058808 Follow-up:
Determine number of glass marbles produced from 15 lbs. of material, allowing 5% for waste. The marbles are 1.5 in. in diameter.
Volume of sphere = 4/3 * pi * r^3.
1.333 * 3.1416 * .625 * .625 * .625 = 1.022 cu. in.
Not sure from this point.

Additional info; Glass weighs .0945 lbs. / cu. in. My apology for the omission.


Answer by ikleyn(52783) About Me  (Show Source):
You can put this solution on YOUR website!
.
Ref. Question 1058808 Follow-up:
Determine number of glass marbles produced from 15 lbs. of material, allowing 5% for waste. The marbles are 1.5 in. in diameter.
Volume of sphere = 4/3 * pi * r^3.
1.333 * 3.1416 * .625 * .625 * .625 = 1.022 cu. in.
Not sure from this point.

Additional info; Glass weighs .0945 lbs. / cu. in. My apology for the omission.
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The 95% remaining amount of the glass (after taking off 5% for waste) is

0.95*15 = 14.25 lbs.

It corresponds to the volume of glass 14.25%2F0.0945 = 150.79 cu. in.

The number of spherical glass marbles is 150.79%2F1.0022 = 150.46  --->  (round)  ---> 150.

Answer.  150 spherical glass marbles.