There is a cone whose radius is equal to its height.
The numerical surface area is equal to the numerical volume.
Find the exact radius and volume of the cone.
Volume = (pi * r^3)/3 since height =r
Surface area = pi * r^2 + pi * r * s where s is the slant height
Slant height is r*sqrt(2)
Surface area = pi r^2 * (1+sqrt(2))
Vol = Area divide both sides by pi r^2
r/3 = 1+sqrt(2)
radius= 3*(1+sqrt(2)) = 7.243
Vol = 397.8
Area = 397.8
Haven't checked others yet

Edited to show: Fletch had it right first
Edited on October 11, 2004, 11:52 am

Posted by Larry
on 20041011 11:50:23 