If the surface area of a sphere increases by 44%, by what approximate percent does the radius increase?
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Correct answer: A
Explanation
Has been given :
The surface area of the sphere increases by 44%.
According to the formula:
Surface area of sphere = 4πr²
Let initial radius = r
New surface area = 1.44 × 4πr²
4π(R)² = 1.44 × 4πr²
R² = 1.44 r²
R = √1.44 r
R=1.2r
Increase in radius= 1.2r − r= 0.2r
Percentage increase = 20%