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anonymous

  • 5 years ago

Solve for the variable given the surface area S of the right cylinder.

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    Alright, you know the general formulas of the cylinder's Surface Area :\[SA = 2\pi r^2 + 2\pi r h\] now notice that x in the drawing represents h :) so you can re-write the equation and you'll get : \[SA = 2\pi r^2 + 2\pi r x\] Now we ask ourselves, what do we have given? Given: - SA = 452.4in^2 - R = 4 in Required to find x , so substitute the given in the equation and solve for x :) Give it a try ^_^

  3. anonymous
    • 5 years ago
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    \[2\times3.14\times4^{2}+2\times3.14\times4timesx\]

  4. anonymous
    • 5 years ago
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    100.48+25.12x

  5. anonymous
    • 5 years ago
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    x=75.36in

  6. anonymous
    • 5 years ago
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    I didn't calculate it , but since you followed the steps, then I guess you're right :)

  7. anonymous
    • 5 years ago
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    hmm, I got 34.0 , are you sure of your answer?

  8. anonymous
    • 5 years ago
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    don't forget you have the surface area :) (452.4 - 2pi(4)^2 )/ 4pi=x x = 28.00, my bad lol

  9. anonymous
    • 5 years ago
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    no wait, you divide by 8pi >_< so you'll get : x = 14.00 LOL, I'm sure now

  10. anonymous
    • 5 years ago
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    \[(452.4 - (12)(2)\pi )/2\pi(4) = x\] \[x = (351.87)/8\pi \] \[x = 14 inches\] sorry about the mess :)

  11. anonymous
    • 5 years ago
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    (16)(2)* instead of (12)(2)

  12. anonymous
    • 5 years ago
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    so x= 14in?

  13. anonymous
    • 5 years ago
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    yes lol, I apologize for the mess ^_^

  14. anonymous
    • 5 years ago
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    okay thank you

  15. anonymous
    • 5 years ago
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    np ^_^

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