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