# 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 :

20Output :

72.8 %Input :

70Output :

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))

Auxiliary Space: O(1)