An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 5.5 centimeters and a volume of 50.42π cubic centimeters. What is the number of centimeters in the height of the waffle cone?Question 2 options:

5 cm 

27.5 cm 

20 cm 

6.68 cm 
Comments
volume of a right circular cone, V = 1/3 πr^{2}h  eqn(1)
where r is the radius and h is the height
r = diameter/2 = 5.5/2 = 2.75 cm
v = 50.42π
substitute the values of r and v into eqn(1)
50.42π = 1/3 π(2.75)^{2}h
multiply both sides by 3
151.26π = 7.5625πh
divide both sides by 7.5625π
h = (151.26π)/(7.5625π)
h = 20 cm
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