Question

volumes of two spheres are in the ratic 64:27. Find the ratio of their surface areas.​

Answer 1

Step-by-step explanation:

$\\ \\ \frac{v1}{v2} = \frac{64}{27} \\ \\ \frac{ \frac{4\pi {x}^{3} }{3} }{ \frac{4\pi {y}^{3} }{3} } = \frac{64}{27} \\ \\ \frac{ {x}^{3} }{ {y}^{3} } = \frac{64}{27} \\ \\ \frac{x}{y} = \frac{4}{3} \\ \\ \frac{s1}{s2} = \frac{4\pi {x}^{2} }{4\pi {y}^{2} } = \frac{ {x}^{2} }{ {y}^{2} } = \frac{ {4}^{2} }{ {3}^{2} } = \frac{16}{9}$