Answer:
h = 15 mm
Step-by-step explanation:
Given that,
The volume of a cone, V = 565.2 cubic millimeters
The radius of the cone, r = 6 mm
We need to find its height. The formula for the volume of the cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
h is the height of the cone
[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]
So, the height of the cone is equal to 15 mm.
