Question

surface of a sphere and cube is equal then find the ratio of their volume ​

Answer 1

Answer:

The surface area of a sphere, of radius r = 4(pi)r^2. Volume of the sphere = (4/3)(22/7)r^3 = 4.19047619 r^3. Hence the ratio of volumes of the cube to that of the sphere =3.032844003 r^3 : 4.19047619 r^3 or 1:1.38169856 say 1:1.38.

Answer 2

Answer:√6:√π

Step-by-step explanation:

surface area of a cube = 6a^2

surface area of a sphere = 4πr^2

Therefore 6a^2 = 4πr^2

r/a = √3/√(2π)

volume of a sphere=4/3πr^3

volume of a cube=a^3

[4πr^3/3]/a^3

=(4π/3)*(r/a)^3

=(4π*3√3)/(3*2π√(2π))

=(12π√3)/(6π√(2π))

=√2*√3/√π

=√6/√π

therefore the ratio of their volumes is √6:√π