Answer:
Option B is correct.
[tex]Volume = 80\pi\ units^{2}[/tex]
Step-by-step 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
[tex]V=\pi r^{2}h[/tex]-----------(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.
[tex]V=\pi\times 4^{2}\times 5[/tex]
[tex]V=\pi\times 16\times 5[/tex]
[tex]V=\pi\times 80[/tex]
[tex]V = 80\pi\ units^{2}[/tex]
Therefore, the volume of the given cylinder is [tex]80\pi\ units^{2}[/tex].
