Python | Percentage increase in hemisphere volume if radius is increased

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 code
x = 10.0
newvol(x)

Output : 

percentage increase in the volume of the hemisphere is  33.1 %

Time Complexity: O(log x) because pow function would take logarithmic time

Auxiliary Space: O(1)