Answer:
• The volume of the cone in terms of π is 48π m³.
,
• The volume is 150.7 m³ (rounded to the nearest tenth).
Explanation:
Given a cone with:
• Radius = 4 m
,
• Perpendicular height = 9 m
The volume of a cone is calculated using the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Substitute the given values:
[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times4^2\times9 \\ =48\pi\;m^3 \end{gathered}[/tex]
The volume of the cone in terms of π is 48π m³.
Next, we find the volume as a decimal.
[tex]\begin{gathered} V=48\pi \\ =48\times3.14 \\ =150.72 \\ \approx150.7\;m^3 \end{gathered}[/tex]
The volume is 150.7 m³ (rounded to the nearest tenth).
