Let d be the smaller cap cut from a solid ball of radius 88 units by a plane 44 unitsunits from the center of the sphere. express the volume of d as an iterated triple integral in (a) spherical, (b) cylindrical, and (c) rectangular coordinates. in each case, let the center of the solid ball be the origin and let the plane be zequals=44. then (d) find the volume by evaluating one of the three triple integrals.

4.6875 pounds

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it will be a cylinder. with a diameter of 8 and 4 single pieces high

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7

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answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

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