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- anonymous

i am working on high school geometry, i have to find the lateral and total surface areas of a cylinder with a base area of 169(pi) and a height that is 2 times the radius, i have been trying to solve the base area equation by setting it equal to 2(pi)raduis squared but i am stuck... help pleassseee?

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- anonymous

- schrodinger

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- anonymous

please help!

- anonymous

thank you

- anonymous

ok so the area of the base is 169pi

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- anonymous

so what do they mean by base area?

- anonymous

do they mean the area of the circle at the bottom?

- anonymous

yes

- anonymous

well the bottom of a cylinder is a circle

- anonymous

the area of a circle is pi*r^2

- anonymous

so pi*r^2 = 169pi

- anonymous

r^2 = 169pi/pi = 169

- anonymous

r = sqrt(169) = 13

- anonymous

if the height is 2*r, then the height is 2*13 = 26

- anonymous

you should be able to get the total surface area, volume, etc... from there

- anonymous

does that make sense?

- Preetha

Very smart, superduper

- anonymous

yes! thank you so much!

- anonymous

yay! thanks preetha

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