Question

the surface area area of a cube equal to area of a sphere. find ratio is thire volumes

Answer 1

heya dude .....
ur answer is here.....!!!!!!

surface area of a cube=6a²
surface area of a sphere =4πr²
6a²=4πr²
r²/a² = 6/4π
r/a = √3/√2√π
volume of a sphere=4/3πr³
volume of a cube=a³
4/3πr³/a³
(4π/3) *(r/a)cube
4π/3*√3/√2√π*√3/√2√π*√3/√2√π
=2/√2√π
=√2/√π
therefore the ratio of their volumes is √2:√π

thanks ......!