s = 2r
but
r^2 + h^2 = s^2 = 4r^2
so h^2 = 3r^2
h = √3 r
Now, we can solve
1/3 πr^2 h = 3/2 πrs
so, what do you get?
A right circular cone has the property that its volume is equal to 1.5 times its lateral surface area and its
radius is half of its slant height. Compute the radius of this cone.
1 answer