If the height of the cone is 5 cm and the volume is 500 cm^3, what is the radius of the cone?
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Responses
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 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 a volume 500(3) and same height.
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 the same volume and height of 3.
The radius is the same as a cylinder with the same volume and same height.
The radius is the same as a cylinder with the same volume and same height.
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The radius can be calculated using the formula for the volume of a cone, which is V = (1/3) * π * r^2 * h, where V is the volume, r is the radius, and h is the height.
Given that the height h = 5 cm and the volume V = 500 cm^3, we can rearrange the formula to solve for the radius r:
500 = (1/3) * π * r^2 * 5
r^2 = (3 * 500) / (π * 5)
r^2 = 300 / π
r = √(300 / π)
Therefore, the radius of the cone is approximately r = 9.23 cm.