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.

1 answer

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.
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