SOLUTION: Two congruent cones share a base. The diameter of the base of the cones and the distance between the vertices of the cones are both equal to 6. What is the volume of the entire sol
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Question 701136: Two congruent cones share a base. The diameter of the base of the cones and the distance between the vertices of the cones are both equal to 6. What is the volume of the entire solid? please show me the steps Answer by CRandunu(8) (Show Source):
You can put this solution on YOUR website! volume of a cone= V= (1/3)pi*r^2*h
here
r= radius of the base of cone
h= perpendicular distance between base and vertex of cone
pi=3.14159
we know diameter of a cone = 6
hence radius =r=6/2=3
given distance between the vertices of the cones = 6 =2h
hence h= 6/2 = 3
since two congruent cones combined entire volume of the solid should be 2V
hence required volume= 2*(1/3)pi*r^2*h = 2*(1/3)pi*3^2*3 = 56.54866776
