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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.
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Answered by
5
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
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3
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