Sugar was traditionally produced and sold as sugar loaves, which are cones of sugar wrapped in paper. Find the volume of a cone-shaped sugarloaf with a base diameter of 8 centimeters and a height of 22 centimeters. *SHOW ALL WORK TO SUPPORT YOUR ANSWER*

Respuesta :

Answer:

[tex]368.614 cm^3[/tex]

Step-by-step explanation:

Givens:

[tex]diameter = 8cm\\height = 22cm[/tex]

Equations:

[tex]radius = diameter/2\\Volume of a Cone = \pi *radius^{2} *height/3[/tex]

Plug Givens into Equations:

[tex]radius = 8cm/2 = 4cm\\Volume Of Cone = \pi * 4cm^{2} * 22cm / 3 = 368.614cm^3[/tex]