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OpenStudy (anonymous):

Find the surface area of a cylinder with a base area of 49 Π in2 and a height that is twice the radius of its base.

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

zepdrix (zepdrix):

Surface Area of a cylinder is given by (Area of the Bases) + (Lateral Area). They told us the Area of the base is \(\Large\rm 49\pi\). Let's match this up with the formula we know for area of a circle.\[\Large\rm A=\pi r^2\qquad\to\qquad 49\pi=\pi r^2\]What do we get for our radius?

OpenStudy (anonymous):

k

OpenStudy (anonymous):

is the radius 7?

zepdrix (zepdrix):

Mmm yes good.

OpenStudy (anonymous):

i think the answer is \[294\], right?

OpenStudy (anonymous):

\[294\pi \]

OpenStudy (anonymous):

in ^2

zepdrix (zepdrix):

Mmmm yah that's what I'm coming up with! Yay good job \c:/

OpenStudy (anonymous):

ty!!

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