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

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?