Question

Jackson buys a grape snow cone on a hot day by the time he eats all of the “snow” of the top, the paper cone is filled with 27 cm^3 of melted purple liquid. The radius of the cone is 3 cm. What is the height of the cone?

Answer 1

the height is 9

Explanation:

To find the answer, we first need to understand the formula to find the volume of a cone:

Volume = 1/3 x base area x height

In this case, we can put the given information into the formula.

The base area of the cone: pi(radius)^2 = pi(3)^2 = 9pi

We can then find the height:

27pi = 1/3 x 9pi x height

27pi/9pi = 1/3 x height

3 = 1/3 x height

height = 9

Therefore, the height is 9cm.

Hope it helps!