SOLUTION: I tore out a pool and need to fill it with dirt. The remaining hole is 332" in diameter and 17" deep at the deepest point. The hole is basically spherical in shape. I couldn't f

Algebra ->  Volume -> SOLUTION: I tore out a pool and need to fill it with dirt. The remaining hole is 332" in diameter and 17" deep at the deepest point. The hole is basically spherical in shape. I couldn't f      Log On


   

Question 95769: I tore out a pool and need to fill it with dirt. The remaining hole is 332" in diameter and 17" deep at the deepest point. The hole is basically spherical in shape. I couldn't find the formula for the volume of a partial shpere. I need the final measurement in cubic yards. Please help
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I tore out a pool and need to fill it with dirt. The remaining hole is 332" in diameter and 17" deep at the deepest point. The hole is basically spherical in shape. I couldn't find the formula for the volume of a partial shpere. I need the final measurement in cubic yards. Please help
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There is no formula for the volume of a "partial sphere".
The formula for an entire sphere is (4/3)(pi)r^3.
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The fact that the diameter = 332 can be used to find the radius
of that circle:
r = (1/2)332 = 166
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But the fact that the hole is 17 deep says you have considerably less
than half a sphere.
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You would have to use calculus to figure out the volume of the hole.
Are you ready for that?
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cheers,
Stan H.