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September 21, 2014

September 21, 2014

Posted by **Ruby** on Tuesday, February 3, 2009 at 10:43pm.

- calculus -
**Reiny**, Tuesday, February 3, 2009 at 11:05pmwhole ball = 4/3(pi)(10^3)= (4000/3)(pi)

now drill out the integral of Pi(y^2)dx from -4 to 4 or

2pi(integral)(100-x^2)dx from 0 to 4

= 2pi [ 100x - (1/3)x^3] from 0 to 4

= 2pi(400 - 64/3]

= 2pi(1136/3)

so the volume of the solid is

4000pi/3 - 2275pi/3 = 1728pi/3

please check my arithmetic.

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