Question

A sphere and cube have equal surface area. Show that the ratio of the volume of the sphere to that of the cube √6:√π.​

Answer 1

Answer:

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Answer 2

Given, that Sphere and cube have same surface area i.e:−

4πr

2

=6a

2

(where r is radius of sphere and a is edge of cube)

⇒

a

r

=

2π

3

Now, Ratio of their volumes:-

=

a

3

3

4

πr

3

=

π

6

Hence proved.