Help finding the volume

Answer:Using [tex]\pi =3.14[/tex] the volume of the cylinder is [tex]1471.875\ m^{3}[/tex]Step-by-step explanation:We are using [tex]\pi =3.14[/tex].We know that volume of a cylinder is [tex]\pi (r)^2h[/tex]For this we have Height of the cylinder is given that is [tex]18.75\ m[/tex]And the radius of the cylinder is unknown,But there is a hint in which we can see that the diagonal,height and diameter forms a right angled triangle (or a cone).Where [tex]21.25\ m[/tex] is the hypotenuse.Using Pythagoras formula.[tex](Hypotenuse)^2=(base)^2+(perpendicular)^2[/tex]We can find the value of diameter which is the base over here.So,[tex]d=\sqrt{(21.25)^2-(18.75)^2}=\sqrt{(451.56-351.56)}=\sqrt{(100)}=10\ m[/tex]Then radius [tex]\frac{diameter}{2} =\frac{10}{2}=5\ m[/tex]Now using the above values and plugging it on to the formula.Volume [tex]=\pi (r)^2h=(3.14)(5)^2\times 18.75=1471.875\ m^3[/tex]So the volume of the cylinder is [tex]1471.875\ m^3[/tex]