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 pi cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.

Answer 1

Answer:

9 cm

Step-by-step explanation:

Use the cone volume formula, V = $\pi$r²$\frac{h}{3}$

Plug in the volume and radius, and solve for h, the height:

V = $\pi$r²$\frac{h}{3}$

27$\pi$ = $\pi$(3²)$\frac{h}{3}$

27$\pi$ = 9$\pi$$\frac{h}{3}$

3 = $\frac{h}{3}$

9 = h

So, the height of the cone is 9 cm