What is the ratio V2/V1 of the volumes?

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The discussion focuses on calculating the volume ratio V2/V1 of two spheres, where Sphere 2 has a radius six times that of Sphere 1. Given the formulas for surface area (A = 4πR²) and volume (V = 4/3πR³), the ratio of the volumes can be derived. Specifically, the volume ratio V2/V1 is determined to be 216:1, as the volume scales with the cube of the radius.

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I need help with this question: Sphere 1 has surface area A1 and volume V1, and Sphere 2 has surface area A2 and volume V2. If the radius of Sphere 2 is six times the radius of Sphere 1, what is the ration A2/A1 of the areas?

Part two: What is the ratio V2/V1 of the volumes?

:confused:
 
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For a sphere with radius R, area (A) and volume (V) are:

[tex]\begin{array}{l}<br /> A = 4\pi R^2 \\ <br /> V = \frac{4}{3}\pi R^3 \\ <br /> \end{array}[/tex]

With your knowledge of the ratio's of the radii, that should help :smile:
 

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