The volume of a sphere is proportional to the cube of its diameter (V ∝ d³). When objects are melted and combined, their volumes are additive. The total volume of the melted globes equals the volume of the new globe.
The volume of globe varies as the cube of its radius. Three solid globes of diameters 1$ \frac{1}{2}$, 2 and 2$\frac{1}{2}$ metres are melted and formed into a new solid globe. What is the diameter of the new globe?
Asked in GPSC Prelims CSP 1 2022 · Topic: Mechanics (Work, Energy, and Power)
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