SOLUTION: Determine number of lead balls, 1/4 in. in diameter, are in 1 lb. Lead weighs .41 lbs. per cu. in. Not sure how to proceed. Non - homework.

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Question 1128813: Determine number of lead balls, 1/4 in. in diameter, are in 1 lb.
Lead weighs .41 lbs. per cu. in.
Not sure how to proceed. Non - homework.
Found 3 solutions by Alan3354, josmiceli, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine number of lead balls, 1/4 in. in diameter, are in 1 lb.
Lead weighs .41 lbs. per cu. in.
============
0.25 d = 0.125 radius
Vol+=+4pi%2Ar%5E3%2F3+=+4pi%2A%281%2F8%29%5E3%2F3+=+4pi%2F%283%2A512%29+=+pi%2F384 cubic inches per ball.
Mass = Vol*density = (pi/384)*0.41 pounds pounds/ball
balls/pound is the inverse of pounds/ball = 384/(0.41*pi)
=~ 298 balls/pound

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of a 1/4 in. dia. lead ball
+V+=+%284%2F3%29%2Api%2Ar%5E3+
+V+=+4.1888%2A.25%5E3+
+V+=+4.1888%2A.015625+
+V+=+.06545+ in3
------------------------------
+.41%2A.06545+=+.02683+ pounds/ball
+1%2F.02683+=+37.265+
About 37 lead balls
get a 2nd opinion


Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
The tutor @jomiceli mistakenly uses 1%2F4 of an inch as the radius, while it is the diameter.