If the ratio of radii of two spheres is 2:3 then find the ratio of their surface...

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August 2021 2 23 Report

If the ratio of radii of two spheres is 2:3 then find the ratio of their surface areas.

Parishmita The ratio of radii = 2 : 3

Ratio of total surface areas = 4πr²:4πR² = r²:R² = 2²:3² = 4:9 .

If the radius of sphere are in the ratio of 2 : 3 then their surface areas are in the ratio of 4 : 9 .

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R1=2r r2=3r
S1/S2=4×22/7×2r×2r÷4×22/7×3r×3r
=2r×2r÷3r×3r
=4r sqr. ÷ 9r sqr
=4/9
=2/3
2:3 is the ratio between the surface area

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