ABC26GN4770 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.
Answer
Explanation
Let original radius = R. 150 3R Then, new radius = R = . 100 2 3 4 3 4 3R 9πR 3 Original volume = πR , New volume = π = . 3 3 2 2 19 3 3 Increase % in volume = πR × × 100 % = 237.5%. 6 4 πR 3 2 3R Original surface area = 4πR2. New surface area = 4π = 9πR 2 . 2 5 πR 2 Increase % in surface area = 2 × 100 % = 125%. 4 πR
Explanation as extracted from the printed page; notation may be imperfect.
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