Answer:
The volume of cone v= 113.04 cm³.
Explanation:
Formula used to find volume of cone is:
![v= \pi * r^2 * (h)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t7n39g0v5v3rbc3t9amv6uv6zhtw5evhfd.png)
where r is the radius and h is the height of cone.
In the given question we are given:
height h= 6 cm
diameter d= 6 cm
We know radius r = d/2 = 6/2 = 3 cm
so, volume will be:
![v= \pi * 6^2 * (3)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s8szg86v4so1yz178pp6qbopblzt3leq7l.png)
![v= \pi * 36](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dqbeo4qhk3y2aibbkirlvpa7z4557kebpv.png)
![v=113.04](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a6tuln8dukmuckdvzviutx2m6lwa5hsli2.png)
So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm