The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height. Given that the height is 5 cm and the volume is 500 cm^3, we can plug in these values to solve for the radius:
500 = (1/3)πr^2(5)
500 = (5/3)πr^2
r^2 = 300/(5π)
r^2 = 60/π
r ≈ √(60/π)
Therefore, the radius of the cone is approximately √(60/π) cm.
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) 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 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. The radius is the same as a cylinder with a volume 500(3) and same height.
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The radius is the same as a cylinder with a volume of 500/3 and the same height.