Comments on: What are the formulas for find the surface area of a cone and a cylinder? http://www.thearealist.com/area-formulas/what-are-the-formulas-for-find-the-surface-area-of-a-cone-and-a-cylinder Fri, 03 Feb 2012 13:07:59 -0500 http://wordpress.org/?v=2.8.4 hourly 1 By: θ βяιαη θ http://www.thearealist.com/area-formulas/what-are-the-formulas-for-find-the-surface-area-of-a-cone-and-a-cylinder/comment-page-1#comment-1757 θ βяιαη θ Sun, 31 Jan 2010 14:39:59 +0000 http://www.thearealist.com/area-formulas/what-are-the-formulas-for-find-the-surface-area-of-a-cone-and-a-cylinder#comment-1757 The surface area of a cone is A = πrl where l is the slant height of the cone (if you don't know it, but know the height and radius, you can use the Pythagorean Theorem). You can find the proof here: http://www.allendesigns.com/AreaofCone/AreaofCone.htm For a cylinder, the surface area is: A = 2πr² + 2πrh For the cylinder, we compute the area of the top and bottom (which are just two congruent circles), plus the lateral area (which is just a rectangle with it's height being the height of the cylinder and the width being the perimeter of either base). I hope this helps!<br><b>References : </b><br> The surface area of a cone is A = πrl where l is the slant height of the cone (if you don’t know it, but know the height and radius, you can use the Pythagorean Theorem).

You can find the proof here:
http://www.allendesigns.com/AreaofCone/AreaofCone.htm

For a cylinder, the surface area is:

A = 2πr² + 2πrh

For the cylinder, we compute the area of the top and bottom (which are just two congruent circles), plus the lateral area (which is just a rectangle with it’s height being the height of the cylinder and the width being the perimeter of either base).

I hope this helps!
References :

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