sec6.2 volume height irregular shape: ball, ellipsoid ...yuan/class/m125... · irregular shape:...

Sec6.2 Volume

Regular shape: cube, cylinder

Vol=base height

Irregular shape: ball, ellipsoid, cone, paraboloid, hyperboloid

The dummy rules!

eg1. Volume of ball with radius

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eg1. Volume of ball with radius

eg2. volume of solid obtained by rotating about the x-axis the region under the curve

from to

eg3. Find the volume of the solid obtained by rotating the region bounded by and about the -axis.

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eg3. Find the volume of the solid obtained by rotating the region bounded by and about the -axis.

eg6. Volume of the solid by rotating the region in eg4 about

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eg4. Volume of the solid obtained by rotating about x-axis the region, which is bound by and

#67 Find the volume common to two spheres, each with radius r, if the center of each sphere lies on the surface of the other sphere.

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sphere lies on the surface of the other sphere.

HW3B#4 Three regions from top to bottom in the rectangle w/ vertices A

and cut by and

Volume about AB; volume about volume about

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