Question

OS
O 56., A sphere and a cube have equal surface areas.
The ratio of the volume of the sphere to that
cube is
A) VI: 16 C √6 : 7
B) VTI: V3 D V3: VT​

Answer 1

Answer:

Option(C)

Step-by-step explanation:

Given, Surface area of sphere = Surface area of cube

⇒ 4πr² = 6a²

⇒ (r/a)² = 3 /2π

Now,

Volume of sphere / Volume of cube

= (4/3)πr³/a³ = (4π/3)(r/a)³

= (4π/3)(√(3/2π))³

= 2√(3/2π)

= √6/π

Volume of sphere : Volume of cube = √6 : √π.