a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of

Accepted Solution

Answer:= 18 cubic inchesStep-by-step explanation:The volume of a cone is given by the formula;V = 1/3 × base area × height While that of cylinder is given by the formula;Volume = Base area × height Since we need the cylinder to fit exactly inside the cone, then it  means that their bases are the same and heights are the same.Therefore;The cone has three times less volume compared to the cylinder.Thus;Volume of the cylinder = Volume of cone × 3                                        = 6 In³ × 3                                        = 18 cubic inches