Question

The largest possible sphere is carved out from a solid cube of a side $40cm.$ Find the surface area of the sphere.

Answer 1

The largest sphere will have a diameter equal to the side of the cube.

Diameter of sphere = Side of a cube

Radius of sphere, $r=\frac{40}{2}=20cm$ [$\because$ side of cube $=40cm$ (Given)]

Total surface area of the sphere $=4\pi r^2$

$=4\pi \times {20}^2$

$=4\times 400\pi cm2$

$=1600\pi c{m}^2$