To find: To find the dimensions of cone.
Answer to Problem 36E
The dimensions of the rectangle radius
Explanation of Solution
Given information : The cone is inscribed in a sphere of radius
Formula used:
Let the radius of the base is r and h is the height.
The radius is
The height is
The volume of the cone is
For any function
Substitute
Critical points occurs at
The critical point occurs at
So,
This corresponds to maximum volume.
For
The volume will be
Therefore, the radius will be
For maximum volume, the dimensions are radius is
Chapter 4 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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