Question

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PLEASE ANSWER THIS QUESTION
The volume of 2 sphere are in the ratio 64:27. Find the difference of their S.A if sum of their radius is 7cm.​

Answer 1

Ratio of volumes of two spheres = 64:27

(4/3 πr₁³)/(4/3 πr₂³) = 64/27

r₁³/r₂³ = 4³/3³

(r₁/r₂)³ = (4/3)³

r₁/r₂ = 4/3

r₁ = 4 and r₂ = 3 as their sum is equal to 7.

Difference of their surface areas :

= 4πr₁² - 4πr₂²

= 4π (r₁² - r₂²)

= 4π (4² - 3²)

= 4π (16-9)

= 4π (7)

= 4(22/7) (7)

= 88 units

I hope it will helps you

Answer 2

88ᴄᴍ

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