if the height of the cone is 5 cm and the volume is 500 cm^3 what is the radius
To find the radius of the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Where V is the volume, r is the radius, and h is the height of the cone.
Given that the height of the cone is 5 cm and the volume is 500 cm^3, we can plug these values into the formula and solve for the radius:
500 = (1/3) * π * r^2 * 5
Simplify the equation:
1500 = π * r^2 * 5
Divide both sides by 5π:
300 = r^2
Take the square root of both sides to find the radius:
r = √300
r ≈ 17.32 cm
So, the radius of the cone is approximately 17.32 cm.