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.
+36916 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
+36916 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
