# Python | Percentage increase in hemisphere volume if radius is increased

• Difficulty Level : Expert
• Last Updated : 13 Mar, 2022

Given that the radius of a hemisphere is increased by a fixed percentage so, the target is to calculate the percentage increase in the volume of the hemisphere.

Examples:
Input :
20
Output :
72.8 %
Input :
70
Output :
391.3 %

Approach:
Let, the radius of the hemisphere = Given percentage increase = Volume before increase = New radius after increase = So, new volume = Change in volume = Percentage increase in volume = Below is the Python code implementation of the above mentioned approach.

## Python3

 # Python3 program to find percentage increase# in the volume of the hemisphere# if the radius is increased by a given percentage   def newvol(x):       print('percentage increase in the  volume of the hemisphere is ', pow(x, 3) / 10000 + 3 * x                + (3 * pow(x, 2)) / 100, '%')   # Driver codex = 10.0newvol(x)

Output :

percentage increase in the volume of the hemisphere is  33.1 %

Time Complexity: O(log(x))

Auxiliary Space: O(1)

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