What is the ratio V2/V1 of the volumes?

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The discussion focuses on calculating the ratios of surface areas and volumes of two spheres based on their radii. Sphere 2 has a radius six times that of Sphere 1. The ratio of their surface areas, A2/A1, is determined to be 36:1, since surface area scales with the square of the radius. For the volumes, V2/V1 is calculated as 216:1, as volume scales with the cube of the radius. Understanding these relationships is essential for solving the problem accurately.
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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:

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

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