The height of a cone is two times its base diameter. what is the volume of the cone in terms of its base radius r? a. v = r2 b. v = r3 c. v = r3 d. v = r2

Volume of the cone = (1/3) pi r^2 h

h = 2r  so substituting for h:-

V = (1/3) pi r^2 * 2r

V = (2/3) pi r^3

 v = 4/3 pi r*3  

the radius "r" is half the diameter, meaning, the diameter is 2r long

now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

so it would be  v = 4/3 pi r*3  

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plato hope this is right

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