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anonymous

  • one year ago

The area of two sphere have the ratio 4:25. what is the ratio of the radii?

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  1. amistre64
    • one year ago
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    how do you determine the area of a sphere?

  2. anonymous
    • one year ago
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    Sorry, but I don't know how ..

  3. pooja195
    • one year ago
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    \[\huge~\rm~A=\pi~r^2\]

  4. anonymous
    • one year ago
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    oh wait can i use the formula for sa surface area of the sphere?

  5. pooja195
    • one year ago
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    @amistre64

  6. anonymous
    • one year ago
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    4(4piR^2)=25(4piR^2) like this?

  7. anonymous
    • one year ago
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    area of surface of sphere=4 pi r^2

  8. anonymous
    • one year ago
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    \[\frac{ 4 \pi r^2 }{ 4 \pi R^2 }=\frac{ 4 }{ 25 }\] \[\frac{ r }{ R }=?\]

  9. anonymous
    • one year ago
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    and then?

  10. amistre64
    • one year ago
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    if r^2 = 4 and R^2 = 25 what are the values of r and R ?

  11. amistre64
    • one year ago
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    as far as ratios go, there is a property: quadratics are the square of linears radius is a linear measure, area is a quadratic measure.

  12. anonymous
    • one year ago
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    \[\frac{ r^2 }{ R^2 }=\frac{ 4 }{ 25 },\frac{ r }{ R }=\sqrt{\frac{ 4 }{ 25 }}=?\]

  13. anonymous
    • one year ago
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    and the ratio is 2:5...

  14. anonymous
    • one year ago
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    thanks guys :)

  15. anonymous
    • one year ago
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    yw

  16. anonymous
    • one year ago
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    I did not realize that I can cancel the 4 pi and squared both sides haha

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