Geometry Homework. I will be forever indebted to you. Point A(0,6) and point B(8,0) and the origin form a triangle. If the triangle that is formed is rotated around the y axis, find the total surface area of the resulting three dimensional solid.

Question

whpalmer4 · Answer

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whpalmer4 · Answer

|dw:1395993808012:dw|

Isn't that just a cone, with radius 8 and height 6?  You need to find the slant height, which is just the hypotenuse of that right triangle, and then plug the numbers into the formula for the surface area of a cone.