Question

What is x, if the volume of the cylinder is 768pie in^3

Answer 1

48 cm

Explanation:

The volume of an oblique(slanted) cylinder is still

`\pi r^(2) \cdot h`, like a "normal" cylinder. (r is radius, h or x is height)

The diameter of the cylinder is 8, so the radius would be
`(8)/(2) = 4`.

The volume is therefore
`4^2 \pi \cdot h` , which is
`16 \pi h`.

We know
`16 \pi h = 768\pi`, so we divide both sides by
`16\pi` to isolate the variable.

`(768\pi)/(16\pi)= 48`.

So, we know that the height is 48.

Therefore, x=48. (and remember the unit!)

If the radius is supposed to be 8, then do the same thing but with r=8.

Also, I don't know if there's a typo in the title, so this is assuming the volume is
`786\pi`cm^3, and not
`768\pi`in^3.