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  • The volume of two spheres are in the ratio 64:27. Find the ratio of their surface area.​

The volume of two spheres are in the ratio 64:27. Find the ratio of their surface area.​

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The volume of the sphere is proportional to the cube of the radius and surface area of the sphere is proportional to the square of the radius

\\\frac{V_1}{V_2}=\frac{64}{27}\\\\\frac{R_1}{R_2}=\frac{3}{4}\\\\\frac{A_1}{A_2}=(\frac{R_1}{R_2})^2=(\frac{3}{4})^2=\frac{9}{16}

 

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Safeer PP

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