Question
The diameter of a sphere is twice the diameter of
another sphere, The surface area of the first sphere is equal to the volume of the second sphere, The magnitude of the radius of the first sphere isSolution
let radius of sphere 1 = r1 radius of sphere 2 = r2 Given, r1 = 2 r2 surface area of sphere 1 = volume of sphere 2 4Ï€(r1)2 = 4/3 Ï€(r2)3 r1 = 2 r2 4Ï€(2r2)2 = 4/3 Ï€(r2)3 4 = 1/3(r2) r2 = 12 r1 = 2 r2 = 2 × 12 = 24 Â
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