SOLUTION: A cone with a radius of 3 meters has a volume of 72 cubic meters. A pyramid with a square base has the same height and the same volume as the cone. What is the length of one side o
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Question 1107846: A cone with a radius of 3 meters has a volume of 72 cubic meters. A pyramid with a square base has the same height and the same volume as the cone. What is the length of one side of the pyramid's base? Round your answer to the nearest tenth. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! V of a cone=(1/3)pi*r^2*h
216=pi*9*h, for radius of 3 m
h=216/9pi=7.64 m
Volume of a square pyramid is a^2*h/3
72=a^2*(7.64)/3
216=7.64 a^2
a^2=28.27
a=5.3 m
