Answer:
V=150.72
![in^3\\](https://img.qammunity.org/2023/formulas/mathematics/middle-school/l55b9fbdd5bhx1gxbff7l1bzrfl5z6wmmw.png)
Explanation:
We are asked to find the volume of the cylinder.
We know that:
-Volume formula of a cylinder is
where r=radius and h=height.
-Height: 12in
-Diameter: 4in
We don't know:
-Radius of the cylinder
To find the radius of a cylinder, it is always half of the diameter, making r=2in
Now that we have the radius, we can plug the numbers in
![V= \pi r^2*h](https://img.qammunity.org/2023/formulas/mathematics/middle-school/5o5r1kogzgqtmqkbegoznq2eech8l30pu6.png)
![V= \pi (2)^2*12](https://img.qammunity.org/2023/formulas/mathematics/middle-school/oilj046g3wokkmx0l2pht0uq9gmuy9uhsi.png)
![V=\pi 4*12](https://img.qammunity.org/2023/formulas/mathematics/middle-school/6xy1vfxqn98d8ry13cx7k8wky4p7egbunz.png)
![V=48\pi](https://img.qammunity.org/2023/formulas/mathematics/middle-school/waf6m3czi2x1ypbkgnabms78qujs9wdzwn.png)
Now, let's plug in 3.14 for pi.
V=150.72
![in^3\\](https://img.qammunity.org/2023/formulas/mathematics/middle-school/l55b9fbdd5bhx1gxbff7l1bzrfl5z6wmmw.png)