An oblique cone has a height equal to the diameter of the base. the volume of the cone is equal to 18π cubic units. what is the radius of the cone?

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recall that the volume of an oblique cone is given by 
V = (1/3)*(πr^2)*h 
where 
r = radius of circle (the base) 
h = height 
since diameter is equal to the height, we can say that 
h = d = 2r 
substituting, 
V = (1/3)π(r^2)(2r) 
18π = (2/3)π(r^3) 
18*(3/2) = r^3 
27 = r^3 
r = 3 cm 
h = 6 cm 

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