Question

the ratio between the volume of two spheres is 8 27. find the ratio of their surface area

Answer 1

Answer:

4:9

Step-by-step explanation:

4:9

Volume of sphere is

3

4

πr

3

V

2

V

1

=

3

4

πr

2

3

3

4

πr

1

3

=

r

2

3

r

1

3

=

27

8

⇒

r

2

r

1

=

3

2

⇒

S

2

S

1

=

4πr

2

2

4πr

1

2

=

r

2

2

r

1

2

=(

3

2

)

2

=

9

4

Answer 2

answer

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4:9