Asked by Anonymous
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.
radius is half of its slant height. Compute the radius of this cone.
Answers
Answered by
oobleck
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?
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?