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A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water.  To the nearest inch what is the height of the cone?

 Jan 24, 2020
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The formula for the volume of a cone is   (1/3) • pi • (radius of base)2 • height  =  V            

 

Substitute the numbers you have             (1/3) • 3.14 • (1.5)2 • h  = 12      

 

Do the preliminary arithmetic                    (1/3) • 3.14 • 2.25 • h  =  12              

                                                                                      2.36 • h  =  12               

 

Divide both sides by 2.36                                                         h  =  5.09              

 

Round to nearest whole inch                                           height  =  5 inches             

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 Jan 24, 2020

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