Acylinder is inscribed in a cube. if the edge of the cube is 3" long, find the volume of the cylinder.

If the side of the square is s, then the diameter and the height of the cylinder are s.  And the volume of a cylinder with respect to h and d is:

V=(hπd^2)/4  (because r=d/2 and r^2=d^2/4

Since both d and h are equal to s in this case:

V=(πs^3)/4 and we are told that s=3 so

V=27π/4 in^3

V≈21.21 in^3  (to nearest hundredth)

Img()3! : $3! : ! ? : $ sugz