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
.
The volume of a cone, ![V = \pi r^{2} \frac{h}{3} .](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bh%7D%7B3%7D%20.)
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, ![V = \pi (3^{2})(\frac{8}{3} ) .](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%283%5E%7B2%7D%29%28%5Cfrac%7B8%7D%7B3%7D%20%20%29%20.)
![V = (3.1415)(9)(\frac{8}{3}) .](https://tex.z-dn.net/?f=V%20%3D%20%283.1415%29%289%29%28%5Cfrac%7B8%7D%7B3%7D%29%20.)
![V = 75.396.](https://tex.z-dn.net/?f=V%20%3D%2075.396.)
Rounding this value off, we get the volume of the cone as 75.4 cm³.