If the height of the cone is 5 cm and the volume is 500 cm^3, what is the
radius of the cone?
(1 point)
The radius is the same as a cylinder with the same volume and height of 3.
The radius is the same as a cylinder with a volume of 500/3 and the same
height.
The radius is the same as a cylinder with a volume 500(3) and same
height.
The radius is the same as a cylinder with the same volume and same
height.
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
Given that the height (h) is 5 cm and the volume (V) is 500 cm^3, we can plug in these values and solve for the radius (r).
500 = (1/3) * π * r^2 * 5
500 = (5/3) * π * r^2
r^2 = 500 / (5π/3)
r^2 ≈ 100.53
r ≈ √100.53
r ≈ 10.03 cm
Therefore, the radius of the cone is approximately 10.03 cm.