The radius of the cone is 3ft
The base area of the cone is 28.26ft²
The volume of the given cone is 75.36ft³
The formula for calculating the volume of a cone is expressed as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
r is the base radius
h is the height of the cone
V is the volume of the cone
From the diagram, the base diameter is 6 ft
Base radius = 6/2 = 3ft
The area of the base of the cone is [tex]\pi r^2 h[/tex]
Base area = [tex]3.14 \times 3^2\ = 28.26ft^2[/tex]
Get the required volume of the cone
Volume = Base area/3
Volume = [tex]\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3[/tex]
Hence the volume of the given cone is 75.36ft³
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