Answer:
D
Step-by-step explanation:
The volume of a cone can be found using the formula [tex]V=\frac{1}{3}\pi r^2h[/tex]. We know the height is 5 inches. We can find the radius using the circumference. Remember, the circumference formula is [tex]C=2\pi r[/tex]. Since the circumference is 56.52 we write
[tex]C=2\pi r\\56.52=2\pi r\\\frac{56.52}{2\pi}=r\\9=r[/tex]
The radius is 9. We substitute the radius and the height into the volume formula:
[tex]V=\frac{1}{3}\pi r^2h\\V=\frac{1}{3}\pi 9^2(5)\\V=\frac{1}{3}\pi 81*5\\V=\frac{1}{3}\pi 405\\V=\frac{405}{3}\pi\\V=135*\pi\\V= 423.9[/tex]
The solution is D.
