Answer:
![315.19](https://img.qammunity.org/2023/formulas/mathematics/college/u8o99byyunxj3hqhoun6syvsexqoj3uy0r.png)
Explanation:
Given:
- Radius of the cone is 7.
- Height of the cone is 7.
To find:
The volume of a cone with a radius of 7 and a height of 7.
Solution:
Use the formula:
![V=(1)/(3)h\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/k5lw90k4qk8guk20wgk007s5mxm9yvq0en.png)
Result:
![V=\pi r^2(h)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/b0gjzq46j5jtyvn2vk5wmw8zq9d9uxs13z.png)
![=\pi *7^2*(7)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/4caws2ki8400nxfyrs8ijafjocc9uf38m9.png)
≈
![359.18876](https://img.qammunity.org/2023/formulas/mathematics/college/n41ytrviszjrr5nmyv620w5vypy4vcp3aq.png)
Now round to the nearest hundredth.
≈
![359.19](https://img.qammunity.org/2023/formulas/mathematics/college/vt3jag64q57ut3rus5avbah156hhsq0c0k.png)
Note*
Nearest hundredth is the second digit after the decimal point.