Optimization Worksheet 3.6 With Answers - Calculus Maximus Page 6
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10Calculus Maximus
WS 3.6: Optimization
11. Mr. Wenzel has a big problem. He has a sphere of radius 3 feet ands he is trying to find the volume of
a right circular cylinder with maximum volume that can be inscribed inside his sphere. Aside from
any problems of actually getting the cylinder into the sphere, help Mr. Wenzel find the volume of the
aforementioned right circular cylinder.
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12. A rectangle has its vertices o the x-axis, the y-axis, the origin, and the graph of
y
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x in the first
quadrant. Find the maximum possible area for such a rectangle. Justify your answer
Page 6 of 10
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