Question

Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is
A 3:4
B) 4:3
C) 9:16
D) 16:9
also explain ​

Answer 1

Answer:

The answer is D) 16:9

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Step-by-step explanation:

ANSWER ::

Volumes of two spheres are in the ratio 64:27

So radius of two spheres are in the ratio 4 : 3

So surface area of two spheres are in the ratio 16 : 9

Answer 2

Step-by-step explanation:

Given,

Ratio of volume of two sphere = 64:27

Hence,

4/3* πr1^3/ 4/3πr2^3 = 64/27

Hence,

r1^3 / r2^3 = 64/ 27

R1 /R2 = 4/3

Ratio of surface area = 4πr1^2 / 4πr2^2 =

R1^2 / R2^2 = 4/3 = 16/9 = 16:9 ans....

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