We know that
• The diameter is 10 meters.
,
• The height is 12 meters.
,
• pi is equal to 3.14, approximately.
To find the volume of a cylinder with the given dimensions, we use the following formula
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
Replacing all given information, we have
![V=3.14(5)^2(12)](https://img.qammunity.org/2023/formulas/mathematics/college/yykawvlv2nnoicc8y0kckhev0r8sejrtqp.png)
Since the radius is half the diameter. So, the volume is
![V=3.14\cdot25\cdot12=942m^3](https://img.qammunity.org/2023/formulas/mathematics/college/9too3dffjvkyq99bdpflglbclqlvv3jaov.png)
Therefore, the volume of the cylinder is 942 cubic meters.