Answer:
The height of the waffle cone is: 4.78 cm
Step-by-step 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,
[tex]r = \frac{d}{2} = \frac{6.6}{2} = 3.3\ cm[/tex]
The volume of cone is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Putting the known values
[tex]54.45 = \frac{1}{3} * 3.14 * (3.3)^2 * h\\54.45 = \frac{1}{3} * 3.14 * 10.89 * h\\54.45 = 3.14 * 3.63 * h\\54.45 = 11.3982h\\h = \frac{54.45}{11.3982}\\h = 4.7770\ cm\\[/tex]
Rounding off to nearest hundredth
h = 4.78 cm
Hence,
The height of the waffle cone is: 4.78 cm
