Respuesta :

Base radius is 5in

Height=8in

Volume

  • 1/3πr²h
  • 1/3π(5)²(8)
  • 1/3π(8)(25)
  • 200π/3
  • 209.3in³

Answer:

Volume = 13.3 in³ (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

[tex]\textsf{Base area of a cone = area of a circle}=\sf \pi r^2[/tex]

[tex]\implies \textsf{Volume of a cone}=\sf \dfrac{1}{3} h \times \textsf{base area}[/tex]

Given:

  • Base area = 5 in²
  • Height = 8 in

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume of a cone} & =\sf \dfrac{1}{3} (8)(5)\\\\ & = \sf \dfrac{40}{3}\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}[/tex]

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