To the nearest hundredth, find the surface area of a cone whose slant
height is 9 cm and that has a base with radius 6 cm

Hi there,

The equation for the surface area of a cone (not including the base)
is A=Pi*r^2+Pi*r*s where Pi=3.14159, r=radius, and s=slant height. If
you have the height instead of the slant height you can use the
equation A=Pi*r*(r+(r^2+h^2)^(1/2))

So, for your equation:

A=Pi*6^2+Pi*6*9
 =Pi*36+Pi*54
 =282.74

Additional resources:
Surface Area of a Cone - WebCalc
http://www.webcalc.net/calc/0040.php

Deriving the Surface Area of a Cone
http://www.rdrop.com/~half/Creations/Puzzles/ConeArea/

Math Question #39 - Surface area of a Cone
http://www.grc.nasa.gov/WWW/K-12/p_test/math_9/math_p_q39.html

Hope that answers your question! If not, please feel free to ask for clarification.

Regards,
Deadlychiapet

Search terms used:
cone surface area
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