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 1

Answer: The height of the cone is 9 cm.

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.

Answer 2

Answer:

9

Step-by-step explanation: