Question:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?
Answer:
The height of the cone is 
Explanation:
It is given that the radius of the cone is 
The volume of the cone is 
The height of the cone can be determine using the formula,

Substituting the values
and
, we get,

Multiplying both sides by 3, we have,

Dividing both sides by
, we have,

Thus, the height of the cone is 