SOLUTION: The diameter of a lead ball is2.1cm The density used is11.34cubic cm what is the wieght of the lead ball

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Question 1018110: The diameter of a lead ball is2.1cm The density used is11.34cubic cm what is the wieght of the lead ball
Found 2 solutions by addingup, rothauserc:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Radius is 1/2 diameter. In this problem:
2.1*1/2 = 2.1/2 = 1.05 is the radius
Weight:
volume%2Adensity
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Volume of the sphere:
V+=+%284%2Api%2Ar%5E2%29%2F3
V+=+%284%2A3.1416%2A1.05%5E2%29%2F3
V+=+4.62
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Weight:
11.34%2A4.62+=+52.39 is the weight of this ball.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We have a lead ball whose diameter is 2.1cm,
:
Volume(V) of the lead ball = (4/3) * pi * r^3, where pi=(22/7) and r = (2.1)/2 = 1.05
:
V = (4/3) * (22/7) * (1.05)^3 = 4.851 cubic cm
:
Density = mass / volume
11.34 = mass / 4.851
mass = 11.34 * 4.851 = 55.01034 grams or 0.05501034kg
:
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Weight(W) = mass * gravity
W = 0.05501034 * 9.8 = 0.539101332 approx 0.54 newtons or 0.121194801086369 approx 0.12 pounds
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