Question

What is the ratio of the surface area of two spheres when their radii are in ratio 1:4?

Answer 1

Hey buddy

Here is your answer

Answer 2

☞ The radii of two spheres are in the ratio 1 : 4.

• Let radii of one sphere $(S_{1})$ be $R_{1}$

And radii of another sphere $(S_{1})$ be $R_{2}$

» Surface area of sphere = 4πr²

• A.T.Q.

=> $\dfrac{S_{1}}{S_{2}}$ = $\dfrac{4\pi { R_{1} }^{2} }{4\pi { R_{2} }^{2}}$

=> $\dfrac{ { R_{1} }^{2} }{{ R_{2} }^{2}}$

=> ${( \dfrac{ R_{1} }{ R_{2}} )}^{2}$

=> ${(\dfrac{1}{4})}^{2}$

=> $\dfrac{1}{16}$

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The ratio of the surface area of two spheres is 1:16

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