SOLUTION: find the radius of asphere with the following volume a)972picm^3 b)498pimm^3 c)15 3/16pi m^3

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Question 587319: find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3
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Do them like this:
1. 10 in^3
Vol+=+4%2Api%2Ar%5E3%2F3+=+10
Solve for r
4%2Api%2Ar%5E3+=+30
r%5E3+=+30%2F%284%2Api%29+=+7.5%2Fpi
r+=+root%283%2C%287.5%2Fpi%29%29
r =~ 1.3365 inches
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You can do that for each one, or do it once and plug in the volumes.
You can make an Excel sheet to do them, too. Make it once, it works forever.
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Vol+=+4%2Api%2Ar%5E3%2F3
Solve for r
4%2Api%2Ar%5E3+=+3%2AVol
r%5E3+=+3%2AVol%2F%284%2Api%29
r+=+root%283%2C3%2AVol%2F%284%2Api%29%29 inches
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2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3