Question

An ice cream waffle cone can be modeled by a right circular cone with a base diameter 6.6 centimeters and a volume of 54.45 cubic centimeters what is the number of centimeters in the height of the waffle cone

Answer 1

The height of the waffle cone is: 4.78 cm

Explanation:

Given

Diameter of cone = d = 6.6 cm

Volume of cone = V = 54.45 cm^3

First of all, we have to find the radius of the cone

So,

`r = (d)/(2) = (6.6)/(2) = 3.3\ cm`

The volume of cone is given by:

`V = (1)/(3) \pi r^2h`

Putting the known values

`54.45 = (1)/(3) * 3.14 * (3.3)^2 * h\\54.45 = (1)/(3) * 3.14 * 10.89 * h\\54.45 = 3.14 * 3.63 * h\\54.45 = 11.3982h\\h = (54.45)/(11.3982)\\h = 4.7770\ cm\\`

Rounding off to nearest hundredth

h = 4.78 cm

Hence,

The height of the waffle cone is: 4.78 cm