# -*- coding: utf-8 -*-
"""
Created on Wed Sep 17 11:46:21 2014

@author: Jose R
"""

from sympy import *
from sympy.abc import x,y,r,h
from sympy.plotting import plot ## Necesitamos para graficar
import math
##Cubo
fo1 = (2*(x**2))+4*x*y
res1 = 237/(x**2)
fo1 = fo1.subs(y,res1)
cubo = diff(fo1, x, 1)
ecc1 = Eq(cubo, 0)
pcc1 = solve(ecc1, x)
alturacubo = fo1.subs(x,pcc1[0])

##Cilindro
fo2 = 2*math.pi*r*h + 4*math.pi*(r**2)
res2 = 237/(2*math.pi*(r**2))
fo2 = fo2.subs(h, res2)
cilindro = diff (fo2, r, 1)
ecc2 = Eq(cilindro, 0)
pcc2 = solve(ecc2, r)
alturacilindro = fo2.subs(r, pcc2[0])

##Esfera
fo3 = (4/3)*math.pi*(r**3) - 237