Posted by **alana** on Thursday, April 9, 2009 at 3:32pm.

how do you find the volume of the solid that lies within the sphere

x^2+y^2+z^2=9

above the xy plane, and outside the cone

z=2*sqrt(x^2+y^2)??

- math -
**Count Iblis**, Thursday, April 9, 2009 at 5:16pm
In spherical coordinates the region outside the cone and above the xy plane corresponds to theta (the angle between the z-axis and the position vector)between

arctan(1/2) and pi/2.

So, the volume is:

Integral over phi from 0 to 2pi

Integral over theta from atn(1/2) to pi/2

Integral over r from 0 to 3

dr dtheta dphi r^2 sin(theta)

- math -
**Ellen**, Tuesday, April 17, 2012 at 6:34pm
This is incorrect

## Answer this Question

## Related Questions

- calculus - Find the volume of the solid region which lies inside the sphere x^2...
- math - A solid cone of height 12cm and radius 9 cm is recast into a solid sphere...
- Math - A sphere is inscribed in a right cone. The slant height of the cone = the...
- Math - The mass of the solid inside the sphere: x^2+y^2+z^2=1, above the xy ...
- Math for Ms. Sue please! - 1. Name the solid with the description as a figure ...
- calculus - find the volume of solid inside the paraboloid z=9-x^2-y^2, outside ...
- Geometry 10th - A cone is inscribed in a sphere with a radius of 5 centimeters....
- Calculus - A cone is inscribed in a sphere of radius a, centred at the origin. ...
- math - A right circular cone is inscribed inside a sphere. The right circular ...
- math - A solid cone of height 12cm and radius 9 cm is recast into a solid sphere...

More Related Questions