In Python write functions:

def sphereVolume$($r$)$

def sphereSurface$($r$)$

def cylinderVolume$($r$,$ h$)$

def cylinderSurface$($r$,$ h$)$

def coneVolume$($r$,$ h$)$

def coneSurface$($r$,$ h$)$

that compute the volume and surface area of a sphere with radius r$,$ a cylinder with a circular base with radius r and height h$,$ and a cone with a circular base with radius r and height h$.$ You will need to use the pi and sqrt$()$ functions from the math library. Then, write a program that prompts the user for the values of r and h$,$ calls the six functions, and prints the results.

The formulas are

volume of a sphere

V$=4$

$3$

$\backslash$pi

r$3$

surface area of a sphere

A$=4$

$\backslash$pi

r$2$

volume of a cylinder

V$=\backslash$pi

r$2$

h

surface area of a cylinder

A$=2$

$\backslash$pi

r

h$+2$

$\backslash$pi

r$2$

volume of a cone

V$=\backslash$pi

r$2$

h

$3$

surface area of a cone

look this up on Google

The input and out should look like this $($the user entered numbers are in bold for example only$)$:

Enter the radius: $4\mathrm{.}5$

Enter the height: $6\mathrm{.}5$

A sphere has volume: $381\mathrm{.}7035074111598$

A sphere has surface area: $254\mathrm{.}46900494077323$

A cylinder has volume: $413\mathrm{.}5121330287565$

A cylinder has surface area: $311\mathrm{.}0176727053895$

A cone has volume: $137\mathrm{.}83737767625217$

A cone has surface area: $175\mathrm{.}38136922539945$