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lina93
17.04.2021 •
Mathematics
El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?
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Ответ:
Respuesta:
21,16cm
Explicación paso a paso:
Volumen de un cono = 1 / 3πr²h
r es el radio de la base del cono
h es la altura del cono
Dados los siguientes valores
radio r = 18,8cm
Volumen = 416,4 centímetros cúbicos
Sustituir en la fórmula y obtener la altura.
Volumen de un cono = 1 / 3πrh
416,4 = 1 / 3π (18,8) h
416,4 = 1/3 * 3,14 * 18,8 h
416,4 = 19,6773h
Intercambio
19,6773h = 416,4
h = 416,4 / 19,6773
alto = 21,16 cm
Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.
Ответ:
21,16cm
Step-by-step explanation:
Espero que esto ayude
Ответ:
Then the answer i 1/(sin²θ)
Let's assume x=θ ( for the typo)