The diameter of a sphere is increased by 30%. What is the percentage increase in its volume?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2. i.e. 119.7%.
Given:
The diameter (d) of a sphere is increased by 30%
Let the initial volume of the sphere be V
Formula used:
The volume of a sphere V = 4/3πr³
Calculation:
Increase in volume = V × 130/100 × 130/100 × 130/100 = 2.197 V
Hence, the required percentage = [(2.197 V - V)/V] × 100 = 1.197 × 100 = 119.7%