Question

if a sphere and cube has a same volume, then the ratio of the surface of the sphere to that of the cube is​

Answer 1

Step-by-step explanation:

Let the radius of sphere is r and side of cube is x

Then volume of sphere=

3

4

πr

3

And volume of cube=x

3

x

3

=

3

4

πr

3

⇒x=

3

3

4

π

×r

⇒

x

r

=

3

4π

3

Then surface area of sphere =4πr

2

And surface area of cube =6x

2

Then ratio of sphere to the cube =

6x

2

4πr

2

=

3

2π

(

x

r

)

2

=

3

2π

(

3

4π

3

)

2

=

3

6

3

π

Answer 2

Answer:5.35:1

Step-by-step explana