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Mathematics 21 Online
OpenStudy (anonymous):

help needed http://prntscr.com/zbsbi i got the answer x = 8.78 , 108.78

OpenStudy (anonymous):

x = 8.78 , -108.78

OpenStudy (anonymous):

i calculate it but can you solve it for me so i can compare my method

OpenStudy (phi):

what is the question? You found the radius of the vase. It is r= 8.78

OpenStudy (phi):

btw, in your print screen, the line that reads 100 pi r + pi r^2 = 300 should read 100 pi r + pi r^2 = **3000**

OpenStudy (mertsj):

Your answer 8.78 is the correct radius. Discard the negative one.

OpenStudy (anonymous):

ok but what about 3000 100 pi r + pi r^2 = 3000 is this quadratic equation right

OpenStudy (phi):

yes, that equation comes from what they told you about the surface area of the cylinder

OpenStudy (phi):

This gives the details on how to find the surface area http://www.basic-mathematics.com/surface-area-of-a-cylinder.html

OpenStudy (anonymous):

\[r^2 + 100r - 3000 / \pi = 0\]

OpenStudy (anonymous):

and is this equation right

OpenStudy (phi):

yes

OpenStudy (phi):

you can re-arrange 100 pi r + pi r^2 = 3000 to pi r^2 +100 pi r -3000 =0 now divide both sides of the equation (all terms) by pi pi r^2/pi + 100 pi r/pi -3000/pi =0 the pi/pi 's cancel out (i.e pi/pi = 1 ) you get r^2 +100 r -3000/pi=0

OpenStudy (anonymous):

thanks can you help with another question i'll make another post

OpenStudy (phi):

I should have written pi r^2/pi + 100 pi r/pi -3000/pi =0/pi and also said that 0/pi is still 0, so you get r^2 +100 r -3000/pi=0

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