Acylinder has a volume of 54 cubic inches. what is the volume of a cone that fits exactly inside of that cylinder

To solve this problem you must use the formula for calculate the volume of a cylinder and the formula for calculate the volume of a cone, which are:
 Vcy=πr²h
 Vco=πr²h/3
 The volume of the cylinder is 54 inches³, therefore, you have:
 Vcy=πr²h
 πr²h=54 inches³
 Substitute the value of πr²h into the formula for calculate the volume of the cone:
 Vco=πr²h/3
 Vco=54 inches³/3
 Vco=18 inches³
 The answer is 18 inches³.

One way is to use formulasVcylinder=h*pi*r^2Vcone=(1/3)*h*pi*r^2intersting, the volume of a cone with same height and radius is 1/3 the volume of a cylinder with same height and radius
so if Vcylinder=54 cubic inches, then Vcone=54*(1/3)=54/3=18 cubic inches

since the cone fits exactly inside the cylinder, we are supposed to assume that they have the same base area (and thus radius) and height

the volume of the cone would be 18 cubic inches