Question

The volume of the cone is 540 Pi , work out the height of the cone. radius = 6cm

Answer 1

`14.32 \: cm`

Explanation:

The volume of the cone formula is:

`\pi r^2 h/3`

Substitute in the values and solve for h.

`540= \pi (6)^2 h * 1/3`

`540= \pi (36) h * 1/3`

`540= 36\pi h * 1/3`

`540 * 3/1= 36\pi h`

`1620=36\pi * h`

`(1620 )/(36\pi) =h`

`(45 )/(\pi) =h`

`h=14.32394`

Answer 2

`41.98cm`

Explanation:

Volume of a cone

`v = \pi {r}^(2) (h)/(3) \\`

`504\pi = 1582.56`

Solve for h ( height)

`h = 3 \frac{v}{\pi {r}^(2) } \\ = 3 * \frac{1582.56}{\pi * {6}^(2) } \\ = 41.97871</p><p></p><p></p><p>`

hope this helps