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############################################################
#                                                          #
#       Virtual Laboratory of Geomathematics in Python     #
#                                                          #
#             Calculating the volume of Mount Fuji         # 
#                      (30.09.2017)                        #
#                                                          #                
#         Complutense University of Madrid, Spain          #
#                                                          #
#   THIS SCRIPT IS PROVIDED BY THE AUTHORS "AS IS" AND     #
#   CAN BE USED BY ANYONE FOR THE PURPOSES OF EDUCATION    #
#   AND RESEARCH.                                          #
#                                                          #
############################################################
from sympy import integrate, Symbol, pi, sqrt
# Definicion de variables simbolicas
z = Symbol('z')
# Modelo matematico
f=pi*((400*z)/3 - (800*sqrt(z))/sqrt(3)+400)
# Calculo de la integral
v=integrate(f,(z,0,3))
print(v.evalf())