Question

Explain how you can find the height of a cylinder if you know the diameter and the volume

Answer 1

Ok so basically the formula of the volume of a cylinder is:
V = Area of base × height of cylinder
V =
`\pi`r²h

If we know the diameter, we then know the radius
Radius is half the diameter.
r =
`(d)/(2)`

We use the given, We plug in the given formula and find the area (since we know the radius)

Volume(given) = Area(found) × Height(unknown)
We divide the volume by the area to find the height.



`(Volume)/(Area.of.base)` = height of prism

This is how we find the unknown height of the prism.

Answer 2

Calculate the area of the base of a cylinder, and then divide the volume by it.