Cálculos superficiales para un pintor de semiesferas (o casi)

[size=150][color=#0b5394]Planteamiento del problema[/color][br][/size][br]El ayuntamiento quiere pintar la cúpula del Centro Niemeyer debido a que es un edificio emblemático de Avilés y cree que remodelarla atraerá turistas.[br]Quieren estimar un coste total de esta reforma y para ello necesitamos determinar la superficie de la cúpula.
Centro Cultural Internacional Oscar Niemeyer, Avilés, Asturias 43°33′25″N 5°54′59″O
[size=150][color=#0b5394]Procedimiento de resolución[/color][br][/size][br]La cúpula del Centro Niemeyer es un casquete esférico. La proyección de una esfera sobre un plano determina un círculo si el centro de la esfera coincide con el centro de la fotografía.[br]Como el centro de la esfera está bajo tierra resultaba muy difícil hacer una fotografía con el requisito, así que lo que está en la imagen es un arco de elipse.[br]En realidad, no es excesivamente importante porque lo que necesitamos es una estimación de la altura y el diámetro del casquete esférico.[br]Nuestros cálculos se van a basar en la [color=#073763]relación de semejanza.[/color]
[size=150][color=#0b5394]Cálculo de las medidas necesarias[/color][br][/size][br]A partir de la altura real de una persona y su altura en la construcción de GeoGebra podemos establecer una proporción entre las medidas reales de la cúpula y las que tiene en GeoGebra. Para poder aplicar semejanza situamos a esta persona en el mismo plano que el arco de la cúpula que se proyecta en la fotografía. [br][br][img]data:image/png;base64,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[/img]
[math]\frac{0.6}{1.76}=\frac{18.64}{d}=\frac{6.09}{h}[/math][br][br]El resultado lo trasladamos a la hoja de cálculo, resolvimos las reglas de tres e introducimos las fórmulas correspondientes.[br][br]Área= (ℎ[sup]2[/sup]+r[sup]2[/sup])π[br]Coste= Área × precio m[sup]2[br][br][/sup]Las medidas resultantes de la estimación fueron muy parecidas a las de la realidad. Por lo que la superficie no se aleja mucho de la verdadera.
Presentación sobre un poco de la historia del Centro Niemeyer
[url=https://educastur-my.sharepoint.com/:p:/g/personal/diegocl56_educastur_es/ES1jLeHurI5IqE6oM97HI5YBnzwTDDWVoOMQUauzfD9E7Q?e=BmKVlZ]El Niemeyer.pptx[/url]

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