Question

if the surface area of a cube and a sphere is same then what is the proportion of the volume of cube and sphere ​

Answer 1

Answer:

surface areas and volumes - ncert

16-Apr-2018 · (a) Volume of cube = a3 ... (c) Total surface area of cube = 6a2 ... (A) same ... The radius of a sphere is 2r, then its volume will be. (A) ... Percentage increase in volume= 3.

Answer 2

Step-by-step explanation:

Let radius of sphere =r and Side of cube =a, then

4πr

2

=6a

2

⇒(

a

r

)

2

=

4π

6

⇒(

a

r

)

2

=

4π

6

⇒

a

r

=

2

1

π

6

Ratio of Volumes =

a

3

3

4

πr

3

=

3

4

π(

a

r

)

3

=

3

4

π×

4π

6

×

2

1

π

6

=

6

:

π