Acylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches. what is the height of the cone?

The height of the cone is 97 in

Step-by-step explanation:

Equate the formulas for the volume of a cylinder and that of a cone:

Vol-Cyl              Vol-Cone

πr²h         =        (1/3)πr²h

Now cancel out items that are the same on both sides (π):

r²h             =         (1/3)r²h

Now substitute the given values for both solids:

(12 in)²(8 in)  =  (1/3)(6 in)²(h-cone)

                                 1152 in³

Then (h-cone) =  =  97 in

                                   12 in²

The height of the cone is 97 in

96 in

Step-by-step explanation:

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