find the radius of a cone with a volume of 477 mm^3 and a height of 28.5
The volume of a cone can be calculated using the formula:
V = (1/3)πr^2h
where V is the volume, r is the radius, and h is the height.
Plugging in the given values:
477 mm^3 = (1/3)πr^2 * 28.5
To isolate r, we can rearrange the equation:
r^2 = (3 * 477 mm^3) / (π * 28.5)
r^2 ≈ 50.32
Taking the square root of both sides, we get:
r ≈ √50.32
r ≈ 7.09 mm
Therefore, the radius of the cone is approximately 7.09 mm.