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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?
 
  • a)
    Cube
  • b)
    Hemi - sphere
  • c)
    Cuboid
  • d)
    Normal spherical
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Ram a farmer, managed to grow shaped-watermelons inside glass cases of...
This is the kind of question that is either very easy or very difficult depending on whether you know the concept behind the question.

For a given surface area, the volume contained increases with increasing symmetry of the object. For instance, if we are to make water melons of different shapes of the same surface area, the volume will be maximum when it is made into a sphere.

The corollary is that for a given volume, the surface area will be minimum when the object is a sphere. So, the customer should opt for spherical shaped water melons if she has to minimize wastage.

For 2-dimensional object, for a given perimeter, the area increases with increasing symmetry. 

Among different triangles of a given perimeter, an equilateral triangle has the largest area.

The area increases with increasing number of sides - i.e., for a given perimeter the area of a square will larger than that of an equilateral triangle; the area of a regular pentagon of a given perimeter will be larger than that of a square and so on. 

Among different regular polygons of a given perimeter / circumference a circle has the largest area.
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Ram a farmer, managed to grow shaped-watermelons inside glass cases of...
Explanation:

  • Ram, the farmer, grew 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.

  • Each of the glass cases was designed in such a way that the total volume and weight of all the watermelons would be equal irrespective of the shape.

  • The thickness of the skin was the same for all the shapes.

  • A customer wants to buy watermelon for making juice, for which the skin of the watermelon has to be peeled off and thus is a waste.

  • Out of the given shapes, the customer should buy the normal spherical watermelon.


Reasoning:

  • When watermelons are grown inside glass cases, they take the shape of the container in which they are grown.

  • As the total volume and weight of all the watermelons are equal, the amount of fruit inside each container is the same.

  • However, when the skin of the watermelon is peeled off, the amount of waste produced will differ depending on the shape of the container.

  • In the case of a cube, cuboid, or cylindrical watermelon, a significant amount of fruit will be wasted due to the flat surfaces and corners.

  • On the other hand, a hemispherical watermelon will have less waste than the above shapes, but still, some fruit will be left on the curved surface.

  • The normal spherical watermelon, being round and without any flat surfaces or corners, will have the least amount of waste when the skin is peeled off.

  • Therefore, the customer should buy a normal spherical watermelon to minimize waste and get the most amount of fruit for making juice.

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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?a)Cubeb)Hemi - spherec)Cuboidd)Normal sphericalCorrect answer is option 'D'. Can you explain this answer?
Question Description
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?a)Cubeb)Hemi - spherec)Cuboidd)Normal sphericalCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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?a)Cubeb)Hemi - spherec)Cuboidd)Normal sphericalCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)Cubeb)Hemi - spherec)Cuboidd)Normal sphericalCorrect answer is option 'D'. Can you explain this answer?.
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