Answer:
452.39 cm³
Explanation:
The given figure is a cone, and the given dimensions are:
• Diameter = 12 cm
,
• Perpendicular height = 12 cm
We want to find the volume.
The volume of a cone is calculated using the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
• Radius, r = Diameter/2 = 12/2 = 6 cm
Therefore:
[tex]\begin{gathered} V=\frac{1}{3}\times\pi\times6^2\times12 \\ \approx452.39\;cm^3 \end{gathered}[/tex]
The volume of the cone is 452.39 cm³ (rounded to the nearest hundredth).
