Answer:
approx. 686.5
![cm^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1w5fjjglifylqe4fudz371dyxior00hq3k.png)
Explanation:
Formula for the volume of a cylinder:
![V=\pi r^2 h](https://img.qammunity.org/2021/formulas/physics/college/g3ksatm0k44nfswoki4egpn1b88pmrqsop.png)
r is the radius of the base, and h is the height.
h = 13 cm
The radius is half the diameter
r = d/2 = 8.2 / 2 = 4.1 cm
Putting these values into our equation:
![V=\pi *4.1^2 * 13 = \pi * 16.81 * 13 = \pi * 218.53](https://img.qammunity.org/2021/formulas/mathematics/college/hm7l97c4fmr1dh6fjdct3km1zjna8ug817.png)
≈ 686.5
![cm^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1w5fjjglifylqe4fudz371dyxior00hq3k.png)
Answer: approx. 686.5
![cm^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1w5fjjglifylqe4fudz371dyxior00hq3k.png)