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

= 18 cubic inches

Step-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