Question

Volumes of two spheres are in the ratio 64:27, find the ratio of their surface areas.​

Answer 1

Answer:

hence this is the answer

Step-by-step explanation:

Given that,

Volume of two sphere are in ratio=64:27

We know that ,

Volume of sphere=

3

4

πr

3

Then,

Volumeofsphere(2)

Volumeofsphere(1)

=

27

64

3

4

πr

2

3

3

4

πr

1

3

=

27

64

r

2

3

r

1

3

=

27

64

r

2

r

1

=

3

4

Then, Ratio of areas both spheres

areaofsphere(2)

areaofsphere(1)

=

4πr

2

2

4πr

1

2

=

r

2

2

r

1

2

=(

r

2

r

1

)

2

=(

3

4

)

2

=

9

16

Answer 2

ratio of radius=4×4×4/3×3×3

i, e =3/4

ratio of surface area= 3x3/4x4

= 9/16

=9:16