Question

if surface area of two spheres are in the ratio of 4:9 then find the ratio of thier surface area​

Answer 1

Answer:

Let r and R are two radius of a spheres.

According to the question,

⇒

4πR

2

4πr

2

=

9

4

⇒

R

2

r

2

=

6

4

Taking square root on both sides.

⇒

R

r

=

3

2

---- ( 1 )

The volume of two spheres are in ratio,

⇒

3

4

πR

3

3

4

πr

3

⇒

R

3

r

3

From ( 1 ),

⇒

(3)

3

(2)

3

⇒

27

8

∴ The required ratio is 8:27

Answer 2

Answer:

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