Question

if the surface area of sphere and cube are equal then find ratio of their volumes

Answer 1

Hlw mate!!


Surface area of a cube=6
surface area of a sphere =4π
6=4π
=6/4π
r/a=√3/√2√π
volume of a sphere=4/3π
volume of a cube=
4/3π/
(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



Hope it helpful