If a cone has a volume of 60Pi what is the radius and height?
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OpenStudy (perl):
the volume of a cone is
V = 1/3 h * pi * r^2
OpenStudy (anonymous):
i know that. i tried plugging the choices it gave me but i couldnt get anything im running out of time
OpenStudy (perl):
so you can substitute 60pi for volume
OpenStudy (perl):
60 pi = 1/3 * h * pi * r^2
you can divide both sides by pi and multiply both sides by 3
OpenStudy (perl):
which gives you
180 = h* r^2
an equation in two unknowns
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OpenStudy (across):
The best that you can do is express the height in terms of the radius and vice versa.
OpenStudy (anonymous):
?
OpenStudy (perl):
does it say that radius = height ?
OpenStudy (across):
You can convince your instructor that you understand the problem by telling him or her that there exist infinitely-many different cones that can attain a fixed, non-trivial volume.
OpenStudy (anonymous):
nevermind. i got it. i was confusing my self
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