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Volume of two sphere are in the ratio 64: 27 find the ratio of surface area |
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Answer» Answer 16:9 EXPLANATION: We know that, Volume of a Sphere = 4/3πr3 Let R1 = radius of first sphere r2 = radius of second sphere. Thus (Volume of the first sphere)/ (Volume of the second sphere) = 64/27 [ {4π(r1)³} /3] / [ {4π(r2)³} /3] = 64/27 or, (r1)³/(r2)³= 64/27 or, r1 : r2 = 4 : 3 or, (r1)² : (r2)² = 16 : 9 or, 4π(r1)² : 4π(r2)² = 16 : 9 |
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