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Mathematics 21 Online
OpenStudy (anonymous):

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?

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...

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

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?

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...

OpenStudy (agent47):

Each of them have an area of pir^2, that's why i added 2pi*r

OpenStudy (anonymous):

the surface are times two?

OpenStudy (anonymous):

so

OpenStudy (agent47):

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