The surface area of 2 spheres is a ratio of 64:729.what is the ratio of their radii
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Answer: 8/27
Step-by-step explanation:
Let r₁ and r₂ be the radii of the two spheres, then, if S₁ and S₂ are the surface areas of the two spheres, respectively, then
S₁ / S₂ = 64 / 729
⇒ 4πr₁² / 4πr₂² = 64 / 729
⇒ r₁² / r₂² = 64 / 729
⇒ (r₁ / r₂)² = (8 / 27)²
⇒ r₁ / r₂ = 8 / 27
Thus, the ratio of the radii of the two circles is 8 / 27.
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