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      Question

      Quantity I: A sphere has a total

      surface area of 2464 m┬▓. Calculate the sphereтАЩs volume. Quantity II: For a cone, the sum of its radius and height is 28 m, and the ratio of the radius to the height is 11:3. Determine the coneтАЩs volume. Quantity III: The side of a cube and the length of a cuboid are in the ratio 2:5. The cube has a volume of 64 m┬│. Furthermore, the ratios of the length to breadth and length to height of the cuboid are 5:3 and 5:7, respectively. Find the cuboidтАЩs volume. For every question, evaluate the three provided quantities, compute their respective values, and analyze how they compare to each other.
      A Quantity I < Quantity II > Quantity Ill Correct Answer Incorrect Answer
      B Quantity I > Quantity II = Quantity Ill Correct Answer Incorrect Answer
      C Quantity I > Quantity II > Quantity Ill Correct Answer Incorrect Answer
      D Quantity I > Quantity II < Quantity Ill Correct Answer Incorrect Answer
      E Quantity I < Quantity II < Quantity Ill Correct Answer Incorrect Answer

      Solution

      ATQ, Quantity I: So, 4├Ч22/7├Чr├Чr = 2464, r = 14m So, the volume is 22/7├Ч14├Ч14├Ч14├Ч4/3 = 11498.66 m Quantity II: Radius is 28├Ч11/14 = 22m, height is 28 - 22 = 6m So, volume is =1/3├Ч22/7├Ч22├Ч22├Ч6 = 3042.28m Quantity III: The side of the cube is 4m So, the length of the cuboid is 4├Ч5/2 = 10m The breadth of the cuboid is 10├Ч3/5 = 6m The height of the cuboid is 10├Ч7/5 = 14m So, volume is 10├Ч6├Ч14 = 840m Quantity I > Quantity II > Quantity III

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