Question

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?

Answer 1

4.78 cm

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