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Express the volume of a cone, V, as a function of its radius, r, if the radius is 1/3 of the height.

I have tried (1/9)pir^2 but it did not work.

Verified Answer :

bcalle

Since it says the radius is 1/3 the height, I did a substitution then solved for r.

View image bcalle

V = 1/3 * \(\pi r^2 h\)

r = h/3

h = 3r

V = \(\pi r^3\)

Hope this helps

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