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Right $\triangle ABC$ with legs $AB=3$ cm and $CB=4$ cm is rotated about one of its legs. What is the greatest possible number of cubic centimeters in the volume of the resulting solid? Express your answer to the nearest whole number.

 Nov 14, 2019

Best Answer 

 #1
avatar+22114 
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This will produce a cone   one leg will be the height ...the other will be the radius

Volume of a cone = pi r^2 h/3     r^2 is more determining factor of final volume than h....  you can see that the larger radius ^2    will produce the larger cone  ....rotate around the 3 leg (h)

 

pi 4^2  3 /3 = 16 pi =~50 cm3

 Nov 14, 2019
 #1
avatar+22114 
+1
Best Answer

This will produce a cone   one leg will be the height ...the other will be the radius

Volume of a cone = pi r^2 h/3     r^2 is more determining factor of final volume than h....  you can see that the larger radius ^2    will produce the larger cone  ....rotate around the 3 leg (h)

 

pi 4^2  3 /3 = 16 pi =~50 cm3

ElectricPavlov Nov 14, 2019

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