SOLUTION: fIND THE SURFACE AREA OF A RIGHT CONE WITH A A BASE RADIUS OF 6 CM AND HEIGHT OF 6 TIMES THE SQUARE ROOT OF 3 CM?
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Question 173197: fIND THE SURFACE AREA OF A RIGHT CONE WITH A A BASE RADIUS OF 6 CM AND HEIGHT OF 6 TIMES THE SQUARE ROOT OF 3 CM?
Answer by colliefan(242) (Show Source): You can put this solution on YOUR website!
Area of the base is
Area of the cone is pi * r * s, where r is the radius and s the distance from the apex of the cone to the base.
The area of the whole figure then is A =
You are given the value of r, but not of s. You can calculate though because it is the hypotenuse of a right triangle with s and h as its legs. From the Pythagorean theorem,
s = 12
Substitute the values of s and r in the above equation to calculate the area
A =
If you factor the Pi from both terms:
A =
A =
A =
A = 339.28 sq cm
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