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.

Guest Nov 14, 2019

#1**+2 **

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 cm^{3}

ElectricPavlov Nov 14, 2019

#1**+2 **

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 cm^{3}

ElectricPavlov Nov 14, 2019