The radius of a sphere is reduced by 25%. Approximately what percentage decrease will occur in its volume?
Show answer & explanation
Correct answer: A
Explanation
Reduction in radius = 25%
New radius = 0.75r
New volume = (0.75)³ = 0.421875
Reduction = 1 − 0.421875 = 0.578125
Percentage reduction = 57.8% = 58%