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Find the volume of a right circular cone that has a height of 14.3 m and a base with a radius of 5.3 m . Round your answer to the nearest tenth of a cublc meter.

Ask by Ford Grant. in the United States
Mar 19,2025

Solución de inteligencia artificial de Upstudy

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The volume of the cone is approximately 420.6 cubic meters.

Solución

Calculate or simplify the expression .
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Convert the expressions:
  • step2: Multiply the terms:
  • step3: Multiply by the reciprocal:
  • step4: Multiply the fractions:
  • step5: Multiply:

    The volume of the right circular cone with a height of 14.3 m and a base with a radius of 5.3 m is approximately 420.645643 cubic meters. Rounding this to the nearest tenth of a cubic meter, the volume is approximately 420.6 cubic meters.

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Beyond the Answer

Para encontrar el volumen de un cono circular recto, se usa la fórmula V = (1/3)πr²h. Aquí, r es el radio de la base (5.3 m) y h es la altura (14.3 m). Calculando: V = (1/3)π(5.3)²(14.3) ≈ 128.9 m³. Así que, redondeando a la décima más cercana, el volumen es aproximadamente 128.9 m³.
A medida que aplicas esta fórmula en situaciones de la vida real, piensa en su uso para calcular el espacio en restaurantes, el diseño de botellas o recipientes con forma de cono. ¡Es útil en arquitectura y diseño! La geometría es más de lo que parece; juega un papel crucial en la planificación y presentación de objetos cotidianos.

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