the total surface area ofa cylinder, A, is given by the formula
A=2πr2+2πrh
Given that A=200cm^2 and h=10, find the value of r
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OpenStudy (anonymous):
the equation is:
\[A= 2\pi r ^{2} + 2\pi rh\]
OpenStudy (unklerhaukus):
can you solve the equation for r?
OpenStudy (jack1):
hint:
y = ax^2 + bx + c = 0
OpenStudy (anonymous):
r=Ahr^2/2pi
OpenStudy (anonymous):
ii don;t think that's right though....
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OpenStudy (jack1):
hmm... what i would do is make the whole equation = 0
so A = 200
h = 10
it's already in the form of a quadratic (ax^2 + bx + c )
so
if A=2πr^2+2πrh
200 = 2πr^2+2πr10
0 = 2πr^2+20πr - 200
y = ax^2 + bx + c
now solve using quadratic formula
OpenStudy (jack1):
is that all making sense @n9767 ?
OpenStudy (jack1):
did u need this at all (for reference)?
OpenStudy (anonymous):
oh sorry my computer's really slow!
THank uou SOO much!!! i understand now!!
OpenStudy (jack1):
all good, y w, what'd jew get for ur answer (just out of curiosity)?
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