Question

If a biggest sphere is extracted from a cube ,then find the ratio of lateral surface area of cube and surface area of sphere

Answer 1

Diameter of the sphere = side of cubes

So, d = s

2r = s -------(1)

Lateral surface area of cube/ lateral surface area of sphere

4 * s^2 / (4 pi r^2 )

4 * (2r)^2 / 4 * pi * r^2

4r^2 / ( pi * r^2 )

4 / pi

(4*7)/22 = 28/ 22 = 14/ 11