Sec6.2 Volume height Irregular shape: ball, ellipsoid ...yuan/class/M125... · Irregular shape:...
Transcript of 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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