SOLUTION: A right circular cone has a radius 12 inches and a height of 25 inches. What is the lateral area of the cone? It says the answer is 12 pi to the square root of 769. How is that?

Algebra ->  Surface-area -> SOLUTION: A right circular cone has a radius 12 inches and a height of 25 inches. What is the lateral area of the cone? It says the answer is 12 pi to the square root of 769. How is that?       Log On


   

Question 612509: A right circular cone has a radius 12 inches and a height of 25 inches. What is the lateral area of the cone? It says the answer is 12 pi to the square root of 769. How is that?
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
Answer by solver91311(24713) About Me  (Show Source):
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The Lateral Surface Area of a right circular cone is given by:



Where is the radius of the base and is the slant height.

But you are given the height which is the measure of the distance from the center of the base to the apex of the cone. You need the slant height which is the measure from a point on the circle that describes the base and the apex. The radius and height form the legs of a right triangle and the slant height is the hypotenuse. Calculate the slant height using Pythagoras. Then plug in to the Lateral Area formula above.

John

My calculator said it, I believe it, that settles it
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