The volume of the cone is 75.4 cm³.
Step-by-step explanation:
Step 1:
The volume of a cone is obtained by multiplying π with the square of the radius (r²), the height (h), and [tex]\frac{1}{3}[/tex].
The volume of a cone, [tex]V = \pi r^{2} \frac{h}{3} .[/tex]
The cone has a radius of 3 cm and a height of 8 cm.
The unit of the volume of the cone is given by cm³.
Step 2:
The volume of the cone, [tex]V = \pi (3^{2})(\frac{8}{3} ) .[/tex]
[tex]V = (3.1415)(9)(\frac{8}{3}) .[/tex]
[tex]V = 75.396.[/tex]
Rounding this value off, we get the volume of the cone as 75.4 cm³.
