Question

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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 a volume of 500/3 and the 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 the same volume and height of 3.

The radius is the same as a cylinder with a volume 500(3) and same height.
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Answer 1

Correct choice: "The radius is the same as a cylinder with a volume 500(3) and same height." (i.e. a cylinder of volume 1500 and height 5)

Compute r:
V = (1/3)πr^2h = 500, so r^2 = 3V/(πh) = 1500/(5π) = 300/π, hence
r = sqrt(300/π) ≈ 9.77 cm.