Math, asked by smritiyadav2263, 17 hours ago

The volume of two sphere are in the ratio 64:27 find the ratio of their surface area


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Answers

Answered by DipayanBhowmik453
37

Answer:

We know that

 \sf \: volume \: of \: sphere =  \frac{4}{3} \pi  {r}^{3}  \\

Then,

  \sf \frac{ volume \: of \: sphere (1)}{volume \: of \: sphere(2)}  =  \frac{64}{27}  \\

 =   \frac{ {4\pi r _{1}}^{3} }{ 4\pi r_{2}  \:  ^{3} }  =  \frac{64}{27}   \\  \\  \implies \:  \frac{ r_{1} }{ r_{2} } =  \frac{4}{3}

Simplifying process:-

 \frac{ { \cancel{64}} \: ^{4} }{ \cancel{ {27}} \: ^{3} }  \\  \\  =  \frac{4}{3}

 \rule{190 pt}{2.5pt}

Then ratio of surface area of both squares is

 ({ \frac{4}{3}) }^{2}  \\  \\  =  \frac{16}{9}

Hence ratio of surface area is 16/9 or 16:9

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Answered by DreamSpeedrunner
0

Answer:

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Step-by-step explanation:

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