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hey this is matth8 unit 5 lesson 21 on cylinders cones and spheres and we're gonna do a lot of work with today with volumes of all those shapes so first of all we have a little sphere argument where four students calculate the volume of a sphere with a radius of nine centimeters and they have four different answers we have 108 108 pi 972 and 972 pi so really there's some calculation errors that get you 108 and someone forgot a pie or didn't include pie and we have 972 with and without a pie so let's see what we should get here if the formula for the volume of a sphere is four thirds times pi times the radius cubed and they gave us the radius of the value of nine let's see what we should come up with we have four thirds times pi times nine cubed okay well nine cubed is nine times nine times nine which is a large number so four thirds times pi which is 729 if i divide 729 by 3 i end up with 4 pi and 243 so 729 divided by 3 is 243 and i multiply those together to come up with 972 pi so in

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