Question

Ratio of the volume of 2 spheres is 64:27. Calculate the ratio of their surface areas.​

Answer 1

THE SOLUTION OF THIS QUESTION IS IN THE PHOTO.

Answer 2

Answer:

The ratio of their surface areas is 16 : 9

Step-by-step explanation:

Let,

I st sphere radius = R

II nd sphere radius = R

Volume I st sphere : Volume of II nd sphere

64 : 27

Volume of I st sphere = 4/3 π R³

Volume of II nd sphere = 4/3 π r³

⇒ 4/3 π R³ / 4/3 π r³ = 64 / 27

⇒ (R / r)³ = 64 / 27

⇒ (R / r)³ = (4 /3)³

★ Ratio of their surface areas:

⇒ 4 π R² / 4 π r² = (R / r)²

⇒ (4 / 3)²

⇒ 16 / 9

⇒ 16 : 9

Therefore,

The ratio of their surface areas is 16 : 9