Multiple choice

Radius of a sphere is increased by 15%. Find the percentage change in its volume (Approx) एक गोले की त्रिज्या 15 प्रतिशत बढ़ा दी गयी। इसके आयतन में प्रतिशत वृद्धि ज्ञात करें (लगभग)-

  1. 24%

  2. 41%

  3. 15%

  4. 52%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of a sphere is proportional to the cube of its radius (V = 4/3πr³). When radius increases by 15%, the new radius is 1.15r. The new volume becomes (1.15)³ = 1.520875 times the original, representing a 52.0875% increase, which rounds to approximately 52%. This uses the compound percentage change formula: (1 + 15/100)³ - 1 = 0.520875 or 52.0875%.

Keep practicing — related questions