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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

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Respuesta :

So the cylinder's volume is = 150.72. The formula for a cylinder's volume is V=πr^2*h.  So the filled out formula is V=3.14(4^2)*3.  This equals 150.8.

The cone's volume is =133.97.  The formula is f= πr^2*(h/3)  Filled out this is f= 3.14(4^2)*(8/3).  

So the volume of the cylinder is greater than that of the cone.  150.72>133.97.

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