Question

a cylindrical piece of maximum volume has to be an iron cube of Edge 4 centimetre find the volume of cylinder

Answer 1

Answer:

volume of cylindrical piece = 64 cm cube

Step-by-step explanation:

Volume of cube with side 'a' is a^3

The volume of  cylinder is equal to volume of cube with edge 4cm

To find the volume of cube

Volume = 4^3 = 64

to find the volume of cylinder

volume of cylinder of is equal to volume cube

volume of cylinder v = 64 cm sqare

Answer 2

Answer:

16π cm³

Step-by-step explanation:

Volume of cube with side 'a' is a^3

For volume of cylinder inscribed in a cube to be maximum,

its radius should be equal to half of edge of given cube

and height should be equal to edge of cube

Given , edge of the cube = 4 cm,

So, r = 2cm and h = 4cm for cylinder to ahve maximum volume.

To find the volume of cylinder

= π*2²*4 =16π cm³.