Answer:
Option B is correct.
![Volume = 80\pi\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w76vec5guf6fx8g435kpbfwj4p1p9m1jm9.png)
Explanation:
Given:
Perpendicular height of the base of cylinder h = 5 units
Slant height l = 6 units
Radius of the cylinder r 4 units
Volume of the lateral cylinder is
-----------(1)
where r is radius of the cylinder
And h is Perpendicular height of the base of cylinder.
Now, we substitute r and h value in equation 1.
![V=\pi* 4^(2)* 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qti6xtjnii6s6rus4kjlfkoibbx6dbxm6e.png)
![V=\pi* 16* 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vzc8ykt1oqzwyt26a2td4tjhv0t2wvb8z4.png)
![V=\pi* 80](https://img.qammunity.org/2020/formulas/mathematics/middle-school/68ky5h6qvpm4147bp43rybvk2xfxi0hure.png)
![V = 80\pi\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w4ehjnagi2hqd2l2g0hd7tdmajxrjm00k2.png)
Therefore, the volume of the given cylinder is
.