(1) <u>Given:</u>
The radius of the cylinder is 6.5 cm
The height of the cylinder is 16 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
Substituting the values, we get;
![V=(3.14)(6.5)^2(16)](https://tex.z-dn.net/?f=V%3D%283.14%29%286.5%29%5E2%2816%29)
![V=(3.14)(42.25)(16)](https://tex.z-dn.net/?f=V%3D%283.14%29%2842.25%29%2816%29)
![V=2122.6](https://tex.z-dn.net/?f=V%3D2122.6)
Thus, the volume of the cylinder is 2122.6 cubic cm.
(2) <u>Given</u>:
The diameter of the cylinder is 4 inches.
The height of the cylinder is 3 inches.
The radius of the cylinder is 2 inches.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
Substituting the values, we get;
![V=(3.14)(2)^2(3)](https://tex.z-dn.net/?f=V%3D%283.14%29%282%29%5E2%283%29)
![V=(3.14)(4)(3)](https://tex.z-dn.net/?f=V%3D%283.14%29%284%29%283%29)
![V=37.7](https://tex.z-dn.net/?f=V%3D37.7)
Thus, the volume of the cylinder is 37.7 cubic inches.