Question
In: Advanced Math
A cake is shaped like a hemisphere of radius 2 with its base on the xy-plane....
A cake is shaped like a hemisphere of radius 2 with its base on the xy-plane. A wedge of the cake is removed by making two slices from the center of the cake outward, perpendicular to the xy-plane and separated by an angle of phi.
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A. Use a double integral to find the volume of the slice for phi = pi/3 |
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B. Now suppose the cake is sliced by a plane perpendicular to the xy-plane at x = a > 0. Let D be the smaller of the two pieces produced. For what value of a is the volume of D equal to the volume in part (a)? |
Solutions
Expert Solution
A cake is like a hemisphere and its radius base on the xy-plane. A wedge of the cake is removed by making two slices from the center of the cake outward,perpendicular to the xy-plane and separated by an angle of phi.
Colby Messinger answered 3 hours agoRelated Solutions
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