Matt has two similar ceramic bins, as shown below. The total surface area of the smaller bin is 131.9 square feet. What is the surface area of the larger bin?
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OpenStudy (anonymous):
can someone throughly explain this to me step by step?
OpenStudy (anonymous):
anyone there?
terenzreignz (terenzreignz):
Do you know where to begin with surface area ? :)
OpenStudy (agent47):
Ohh this is simple...
Surface area: 2pi*rh
OpenStudy (anonymous):
the formula for the cylinder is...
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OpenStudy (anonymous):
2 pi rh
OpenStudy (anonymous):
k
OpenStudy (anonymous):
the first radius is 3
OpenStudy (agent47):
Use similar cylinders, and get the ratios equal to each other
OpenStudy (anonymous):
and the second radius is 6
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OpenStudy (anonymous):
so wait
OpenStudy (anonymous):
step by step
OpenStudy (anonymous):
what do I do first?
OpenStudy (agent47):
Step 1: find h of the smaller bin
OpenStudy (anonymous):
by plugging the radius in the surface formula?
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OpenStudy (agent47):
131.9=2pirh+2pir^2
OpenStudy (anonymous):
k
OpenStudy (anonymous):
umm
OpenStudy (agent47):
they said the total area, so you also want the circles on top and bottom
OpenStudy (anonymous):
so...
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OpenStudy (agent47):
Each of them have an area of pir^2, that's why i added 2pi*r