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The volume of a cylinder is 90 cubic meters. What is the volume of a cone with the same radius and the same height as the cylinder? 

30 cubic meters 

45 cubic meters 

180 cubic meters 

270 cubic meters

asked Aug 30, 2014 in ALGEBRA 1 by anonymous

1 Answer

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The volume of a cylinder is ( V ) = π r²h

But the volume of a cylinder is given as 90 cubic meters

                                 π r²h = 90                              

The volume of a cone is ( V ) = (1/3)π r²h

                                        = 1/3 (90)

                                         = 30 cubic meters

The volume of a cone is 30 cubic meters.

Option 1 is correct.                                                  

answered Aug 30, 2014 by friend Mentor
edited Aug 30, 2014 by bradely

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