Answer:
452.3 m (rounded)
Step-by-step explanation:
V = R^2 * h * 1/3 * [tex]\pi[/tex]
V = 6^2 * 12 * 1/3 * [tex]\pi[/tex]
V = 36 * 12 * 1/3 * [tex]\pi[/tex]
V = 432 * 1/3 * [tex]\pi[/tex]
V = 452.389...
The volume of the cone is 144 π.
Given
The radius of the cone = 6m
The height of the cone = 12m
The volume of the cone is given by the following formula;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
Substitute all the values in the equations
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\\rm Volume \ of \ cone=\dfrac{1}{3}\pi \times (6)^2\times 12\\\\\rm Volume \ of \ cone=\pi \times 36\times 4\\\\\rm Volume \ of \ cone=144\pi[/tex]
Hence, the volume of the cone is 144 π.
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