Question

volume of two spheres are in the ratio 64 ratio 7 find the ratio of their surface areas​

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

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