A farmer managed to grow shaped-watermelons inside glass cases of different shapes. The shapes that he used were: a perfect cube, hemi-spherical, rectangular prism, cylindrical, and a normal spherical shaped watermelons. The thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and the weight of the all the watermelons would be equal irrespective of the shape. A customer wants to buy watermelon for making juice, for which the skin of the watermelon has to be peeled off, and therefore is a waste. Which shape should a customer buy (Which watermelon has the least surface area)?
A farmer managed to grow shaped-watermelons inside glass cases of different shapes. The shapes that he used were: a perfect cube, hemi-spherical, rectangular prism, cylindrical, and a normal spherical shaped watermelons. The thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and the weight of the all the watermelons would be equal irrespective of the shape. A customer wants to buy watermelon for making juice, for which the skin of the watermelon has to be peeled off, and therefore is a waste. Which shape should a customer buy (Which watermelon has the least surface area)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A farmer managed to grow shaped-watermelons inside glass cases of different shapes. The shapes that he
used were: a perfect cube, hemi-spherical, rectangular prism, cylindrical, and a normal spherical shaped
watermelons. The thickness of the skin was same for all the shapes.
Each of the glass cases was so designed that the total volume and the weight of the all the watermelons would
be equal irrespective of the shape.
A customer wants to buy watermelon for making juice, for which the skin of the watermelon has to be peeled off,
and therefore is a waste. Which shape should a customer buy (Which watermelon has the least surface area)?
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