Answer:
39 pi cubic inches
Step-by-step explanation:
The volume of a cone is (1/3)(area of the base)(height).
[tex]V=\frac{1}{3}Bh[/tex]
Find the area of the circular base. The circumference of a circle is [tex]C=2\pi r[/tex], so
[tex]2\pi r = 6\pi\\\\r=3[/tex]
Now that you know the radius of the circular base, you can find its area:
[tex]A=\pi r^2 = \pi(3^2)=9\pi[/tex]
The height of the cone is 13. Time to use the volume formula.
[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi[/tex]
