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Mathematics 17 Online
OpenStudy (anonymous):

3. Rectangle RECT is rotated 360° about the y-axis. Find the surface area and volume of the resulting solid of revolution. Be sure to do the following: Indicate the type of solid that was formed and its key dimensions. State all formulas. Show all substitutions and work. Use appropriate units in your answers. Answer:

OpenStudy (kc_kennylau):

A cylinder will be formed

OpenStudy (kc_kennylau):

Volume = pi*r*r*h

OpenStudy (kc_kennylau):

Surface area = 2*pi*r*(r+h)

OpenStudy (anonymous):

http://tinypic.com/view.php?pic=rm2n1l&s=8 Here's the link. Thank you so much!

OpenStudy (anonymous):

I don't know the key dimensions though.

OpenStudy (kc_kennylau):

wait... it ain't touching the axis...

OpenStudy (kc_kennylau):

Then big cylinder - small cylinder will be the volume

OpenStudy (kc_kennylau):

The key dimensions are the radii and the height

OpenStudy (anonymous):

Yeah but I don't know what they are since it gives me only points

OpenStudy (kc_kennylau):

The big radius is 6, the small radius is 3

OpenStudy (kc_kennylau):

Rotate the rectangle in your head

OpenStudy (anonymous):

How is there a big and a small radius?

OpenStudy (kc_kennylau):

|dw:1395115648045:dw|

OpenStudy (anonymous):

Im still kind of confused on this.

OpenStudy (kc_kennylau):

|dw:1395115807465:dw|

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