Question
Quantity I: A sphere has a total surface area of 2464 m². Calculate the sphere’s 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 cone’s 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 m³. Furthermore, the ratios of the length to breadth and length to height of the cuboid are 5:3 and 5:7, respectively. Find the cuboid’s volume.
For every question, evaluate the three provided quantities, compute their respective values, and analyze how they compare to each other.
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