Paraboloidalizm

Calculus Level 4

Consider a paraboloid with base diameter D D , axial length H H and a volume of 1. If the surface area of this paraboloid is minimized when D = d D = d and H = h H = h , submit your answer as ( d h 1 d + h ) 2 \left( \dfrac{d-h}{1-d+h}\right)^2 .

Give your answer to 2 decimal places.


The answer is 12.02.

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