Question

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

Answer 1

Answer:

$14.32 \: cm$

Step-by-step explanation:

The volume of the cone formula is:

$\pi r^2 h/3$

Substitute in the values and solve for h.

$540= \pi (6)^2 h \times 1/3$

$540= \pi (36) h \times 1/3$

$540= 36\pi h \times 1/3$

$540 \times 3/1= 36\pi h$

$1620=36\pi \times h$

$\frac{1620 }{36\pi} =h$

$\frac{45 }{\pi} =h$

$h=14.32394$

Answer 2

Answer:

$41.98cm$

Step-by-step explanation:

Volume of a cone

$v = \pi {r}^{2} \frac{h}{3}$

$504\pi = 1582.56$

Solve for h ( height)

$h = 3 \frac{v}{\pi {r}^{2} } \\ = 3 \times \frac{1582.56}{\pi \times {6}^{2} } \\ = 41.97871$

hope this helps