find the volume of the largest cylinder with circular base that can be inscribed in a cube whose volume is 27cu.in.

Sagot :

The Volume of a Cube= side cube
27in³=s³
∛27 =s
s=3 inches

So, the height of the cylinder inscribed in a cube is 3inches and the radius will be 1.5inches.

Volume of Cylinder=πr²h
=π(1.5in)²(3in)
=6.75π cubic inches or 21.21 cubic inches.