Question

Help finding the volume

Answer 1

Answer:

Using $\pi =3.14$ the volume of the cylinder is $1471.875\ m^{3}$

Step-by-step explanation:

We are using $\pi =3.14$.

We know that volume of a cylinder is $\pi (r)^2h$

For this we have

Height of the cylinder is given that is $18.75\ m$

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 $21.25\ m$ is the hypotenuse.

Using Pythagoras formula.

$(Hypotenuse)^2=(base)^2+(perpendicular)^2$

We can find the value of diameter which is the base over here.

So,

$d=\sqrt{(21.25)^2-(18.75)^2}=\sqrt{(451.56-351.56)}=\sqrt{(100)}=10\ m$

Then radius $\frac{diameter}{2} =\frac{10}{2}=5\ m$

Now using the above values and plugging it on to the formula.

Volume $=\pi (r)^2h=(3.14)(5)^2\times 18.75=1471.875\ m^3$

So the volume of the cylinder is $1471.875\ m^3$