Given:
Height of the cylinder = 21 ft
Dimeter of the cylinder = 10 ft
To find:
The volume of the cylinder.
Solution:
We have,
Dimeter of the cylinder = 10 ft
So, radius is half of diameter, i.e., 5 ft.
Volume of the cylinder is
![V=\pi r^2h](https://img.qammunity.org/2022/formulas/mathematics/high-school/epjh35sj5an0p978o7hjzs2ufmx9ct9m3d.png)
Where, r is the radius and h is the height.
Putting
, r=5 and h=21, we get
![V=(3.14)(5)^2(21)](https://img.qammunity.org/2022/formulas/mathematics/college/4djm4vaj02rw01wvrwnuses4vtuflnroml.png)
![V=(3.14)(25)(21)](https://img.qammunity.org/2022/formulas/mathematics/college/pllm3oh2tou6q5l7xy3kv85hw7drpnv7i6.png)
![V=1648.5](https://img.qammunity.org/2022/formulas/mathematics/college/gol4fivi1kgmecwfgjj86eeeyvmdo5z5ty.png)
Therefore, the volume of the cylinder is 1648.5 cubic ft.