A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters

133.33 mm

Explanation:

First we need to find the volume of the sphere. The volume of a sphere is given by:

V = (4/3) * pi * r^3

With a radius of 10 cm, we have:

V = (4/3) * pi * r^3 = 4188.79 cm3

The sphere will be moulded into a cylinder, so the volume will be the same. The volume of a cylinder is:

V = pi * r^2 * h

Where h is the height of the cylinder, and for this case, it will be the length.

The radius is the same old radius, so we have:

4188.79 = pi * 10^2 * h

h = 4188.79 / 100pi = 13.3333 cm

In millimeters, we have h = 133.33 mm