Explanation:
The volume of a cone is one third the area of the base times the height of the cone:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
r is the radius of the base and h is the height.
In this problem, the radius is 12cm and the height is 24cm. The volume is:
[tex]V=\frac{1}{3}\pi\cdot12^2\cdot24=\pi\cdot\frac{144\cdot24}{3}=\pi\cdot\frac{3456}{3}=\pi\cdot1152[/tex]
Answer:
The volume is V = 1152 π
