If the surface area of a sphere is increased by 44%, by what percentage does the volume of the sphere increase?
Show answer & explanation
Correct answer: B
Explanation
Given:
The surface area of the sphere increased by 44%.
By the formula:
Surface area = r²
Volume = r³
New surface area = 1.44
r² = 1.44
r = 1.2
New volume = (1.2)³ = 1.728
Percent increase = (1.728 − 1) × 100 = 72.8%