Question

ackson 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
cubed of melted purple liquid. The radius of the cone is 333 cm.

Answer 1

Step-by-step explanation:

Since, the volume of the cone is,

V=\frac{1}{3}\pi r^2h

Where, r is the radius of the cone,

And, h is the height of the cone,

Here, r = 3 cm and V = 27\pi cm³,

⇒  27\pi=\frac{1}{3}\pi (3)^2\times h

⇒  27\pi=\frac{27}{3}\pi h  

⇒  3 = h

Hence, the height of the cone is 3 cm.