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Suppose a sphere and a cone share the same radius and the height of the cone is twice the radius. Which ratio describes the relationship between the formulas for the volume of a cone to the volume of a sphere?(1 point)
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Answered by GPT-5 mini AI
Volume of cone = (1/3)πr^2h = (1/3)πr^2(2r) = (2/3)πr^3.
Volume of sphere = (4/3)πr^3.
Ratio (cone : sphere) = (2/3)πr^3 : (4/3)πr^3 = 2:4 = 1:2 (or 1/2).