Posted by **Allison** on Tuesday, April 30, 2013 at 11:24pm.

Find the radius of a right circular cone if its volume is 1.5 times its lateral area and its radius is half its slant height.

- Math -
**Steve**, Wednesday, May 1, 2013 at 10:31am
a = πrs = πr(2r) = 2πr^2

v = π/3 r^2 h

so,

π/3 r^2 h = 3πr^2

h=9

If s = 2r,

h^2 + r^2 = 4r^2

9+r^2 = 4r^2

r=3

so, r=3 s=6 h=9

check:

a = π*3*6 = 18π

v = π/3 * 9 * 9 = 27π

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