The diameter of a sphere is twice the diameter of another sphere, The surface area ofthefirst sphere is equal to the volume of the second sphere, The magnitude of the radius ofthefirst sphereis
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Correct answer: B
Explanation
The correct option is 2.
let radius of sphere 1 = r1
radius of sphere 2 = r2
Given, r1 = 2 r2
surface area of sphere 1 = volume of sphere 2
4π(r1)2 =
π(r2)3
r1 = 2 r2
4π(2r2)2 =
π(r2)3
4 3
4 =
(r2)
r2 = 12
r1 = 2 r2 = 2 × 12 = 24