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]