Question

Help finding the volume

Answer 1

Using
`\pi =3.14` the volume of the cylinder is
`1471.875\ m^(3)`

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=√((21.25)^2-(18.75)^2)=√((451.56-351.56))=√((100))=10\ m`

Then radius
`(diameter)/(2) =(10)/(2)=5\ m`

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

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

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