Question

Find the radius of largest sphere that is carved out of a cube of side 7 cm

Answer 1

Total surface area of the cube = 6(7²)=294 cm²

Total surface area of sphere = 4πr²

We have,

4πr² = 294

r² = 294×7/88

r² = 257.25

r =√257.25

r = 16.03

The radius of largest sphere is 16.03 cm