SOLUTION: The height of a cone is 24 inches, and the radius of the base is 7 inches long. Find the lateral surface area of the cone.

Algebra ->  Surface-area -> SOLUTION: The height of a cone is 24 inches, and the radius of the base is 7 inches long. Find the lateral surface area of the cone.      Log On


   

Question 1077398: The height of a cone is 24 inches, and the radius of the base is 7 inches long. Find the lateral surface area of the cone.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The lateral area of a cone is S = pi%2Ar%2AL,
where r is the base radius and L is the slant height of the cone.

For your cone the slant height is sqrt%2824%5E2+%2B+7%5E2%29 = sqrt%28625%29 = 25 inches.

Then the lateral area of the cone is S = pi%2A7%2A25 = 3.14%2A7%2A25 inches.

Please complete this calculation on your own.


In this site you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK.

On the surface area of a cone and other 3D solid bodies see the lessons in this online textbook under the topic
Surface area of 3D solid bodies".