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 pi centimeters cubed of melted purple liquid the radius of the cone is 3 cm what is the height of the cone?

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!

.

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.