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If a right circular cone of height 24 cm has a volume of 1232 ccm then the area of its curved surface is?
The volume, v, of a cone is 1/3*pi*r2*h
so r2 = 3*v/(pi*h) = 3*1232/(pi*24) = 154/pi
then r = 7.0014.
Area of curved surface = pi*r*(r2+h2)0.5 = pi*7.0014*(154/pi+576)0.5
= pi*7.0014*25.0004 = 549.9 sq cm
The calculations become much simpler if you use the approximation pi = 22/7
r2 = 154/pi = 154/(22/7) = 154*7/22 = 49 so that r = 7
Then, r2+h2 = 49+242 = 252
So area = pi*7*25 = (22/7)*7*25 = 22*25 = 550 sq cm
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