Question

When a sphere completely fit a cubical box of side length 'a' metre, find the ratio between volume of cube and volume of sphere

Answer 1

Volume of sphere=4/3πr^3

Surface area of the sphere=4πr^2

Now,4/3πr^3=4πr^2

r^3=3r^2

r=0,3….But as radius of the sphere cannot be zero,we have to neglect this value

So,r=3

Now,Surface area of the sphere=Volume of sphere=4/3πr^3=4πr^2=36π

So,Nπ=36π

N=36

Hope this helps….