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Mathematics 36 Online
OpenStudy (anonymous):

I REALLY NEED SOMEONE TO HELP ME WITH AT LEAST ONE OF THESE PROBLEMS.. PLEASE The solid is similar to a larger solid with the given scale factor, find the surface area and volume of the larger solid.cone: scale factor 3:4, SA=96pi cm^2, V=96pi cm^3

OpenStudy (anonymous):

do you mean that the height and the radius are proportionally larger in the bigger cone?

OpenStudy (anonymous):

im not sure its the second one in this picture.

OpenStudy (anonymous):

can u please help me?

OpenStudy (anonymous):

okay, can you get the radius from the surface area and post it here?

OpenStudy (anonymous):

how would i do that

OpenStudy (anonymous):

surface area = 96 so what is the radius?

OpenStudy (anonymous):

what is the formula for SA of a cone? what is the formula for Volume of cone?

OpenStudy (anonymous):

R=2.76395

OpenStudy (anonymous):

Cone (surface) pi * radius * side Cone (1/3) * pi * radius2 * height

OpenStudy (anonymous):

okay so how do i find the radius

OpenStudy (anonymous):

?

OpenStudy (anonymous):

radius would be 4?

OpenStudy (anonymous):

multiply old radius by (3/4) and plug that into equation to get new parameters of cone

OpenStudy (anonymous):

If two similar solids have a scale factor of a:b then corresponding areas have a ratio of a2:b2, and corresponding volumes have a ration of a3:b3.

OpenStudy (anonymous):

Surface area Surface area a2 = b2 Volume Volume a3 = b3

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