A waffle cone has a volume of 31.254 cubic centimeters and a radius of 2.5 centimeters. What is the approximate height of the cone?

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h =  =    =    ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²