Ram a farmer, managed to grow shaped-watermelons inside glass cases of different shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid, cylindrical along with the normal spherical shaped watermelons. 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 water-melons would be equal irrespective of the shape. A customer wants to buy water-melon for making juice, for which the skin of the water- melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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10. Ram a farmer, managed to grow shaped-watermelons inside glass cases of
different shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,
cylindrical along with the normal spherical shaped watermelons. 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 water-melons would be equal irrespective of the
shape. A customer wants to buy water-melon for making juice, for which the skin of the water-
melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?

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