The volume of a cone varies jointly as its height and the square of its radius. If the volume of a cone is $32 \pi$ cubic inches when the radius is 4 inches and the height is 6 inches, find the volume of a cone when the radius is 3 inches and the height is 5 inches. (FIGURE CANNOT COPY)
Added by Jacob F.
Step 1
Given: Volume = 32π cubic inches, Radius = 4 inches, Height = 6 inches Using the formula V = KHR^2, we have 32π = K(6)(4^2) Solving for K, we get K = 32π / 96 = 1/3π Show more…
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Solve. The volume of a cone varies jointly as its height and the square of its radius. If the volume of a cone is $32 \pi$ cubic inches when the radius is 4 inches and the height is 6 inches, find the volume of a cone when the radius is 3 inches and the height is 5 inches.
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