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]
