Solving Sphere Ratio Problem: Diameters, Areas & Volumes

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SUMMARY

The discussion centers on calculating the ratios of areas and volumes between two spheres where the diameter of the first sphere is twice that of the second. For spheres with diameters of 1 and 2, the ratio of their areas is 4:1, and the ratio of their volumes is 8:1. This is derived from the formulas for the surface area (A = 4πr²) and volume (V = (4/3)πr³) of spheres, confirming that if the diameter of one sphere is d and the other is 2d, the ratios remain consistent.

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Paradiselovek
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Plz help me on this problem:

THe diameter of a certain sphere is 2 times the diameter of a second sphere.

B what is the ratio of their areas?
C. What is the ratio of their volumes?

I try to put 1 and 2 as a diameter of the sphere then compare its areas and volumes but I'm not sure if the ratio is a 100% correct. Plz help me on this.
 
Physics news on Phys.org
What did you get for spheres of diameter 1 and 2?

What do you get for spheres of diameter d and 2d?
 

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