Question

the ratio of areas of two squares with the ratio of their radii 2:3 is​

Answer 1

Answer:

Given the ratio of radii of two sphere is 2:3

Let the radius of two-sphere is 2r and 3r

Then the ratio of the surface area of two spheres =4π(2r)

2

:4π(3r)

2

⇒4:9

Then ratio of volume of two spheres=

3

4

π(2r)

3

:

3

4

π(3r)

3

⇒8:27

Answer 2

Answer:

$.$

Step-by-step explanation:

Hello users.

given that :

radii are in ratio 2:3

we have to find :

ratio in b/w surface area.

and in b/w volumes

solution:-

W.K.T

surface area of sphere = 4πr²

&

volume of sphere = 4πr³/3

now,

let ,

radius of 1st sphere = 2r

and

radius of 2nd sphere = 3r

(because ratio between radii is 2:3)

now ,

S.A of 1st sphere = 4π(2x)² = 16 πr²

and

S.A of 2nd sphere = 4π (3r)² = 36 πr²

=> ratio between their surface area

= 16πr² : 36 πr²

=> 16:36

=> 4:9 answer

now,

volume of 1st sphere = 4/3× π (2r)³

and

volume of 2nd sphere = 4/3× π (3r)³

=> Ratio between their volumes :

= 4/3 ×π(8r³) : 4/3 ×π(27r³)

=> 8:27 answer

✡✡ hope it helps ✡✡