Sunday

December 21, 2014

December 21, 2014

Posted by **rachel** on Saturday, June 16, 2012 at 11:38pm.

- calculus -
**Reiny**, Saturday, June 16, 2012 at 11:52pmHey, that's just the top half of the circle

x^2 + y^2 = 9 rotated, giving us the whole sphere

radius is 3,so the volume is (4/3)π(3^3) = 36π

But I guess you want it done using integration....

volume π∫(9-x^2) dx from -3 to 3

= π[9x - (1/3)x^3] from -3 to 3

= π(27 - 9 - (-27 + 9))

= 36π

**Answer this Question**

**Related Questions**

Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...

calculus - Find the volume if the area between the curve y=lnx, x=1, and y=1 is ...

Calculus - Let R be the region bounded by y=6sin((pi/2)x), y=6(x-2)^2, y=3x+3 ...

calculus, volume , application of integration - show steps for the following: ...

calculus - The region A is bounded by the curve y=x^2-5x+6 and the line y = -x...

Calculus - *Note I reposted this question as I changed the subject** The Region...

calculus - The area enclosed between the x-axis, the curve y=x(2-x) and the ...

calculus - The area enclosed between the x-axis, the curve y=x(2-x) and the ...

Calculus AB...I really need help - The region in the first quadrant enclosed by ...

brief calc - Calculate the total area of the region described. Do not count area...