Question

Who know the answer to this question

Answer 1

D

Explanation:

The volume of a cone can be found using the formula
`V=(1)/(3)\pi r^2h`. We know the height is 5 inches. We can find the radius using the circumference. Remember, the circumference formula is
`C=2\pi r`. Since the circumference is 56.52 we write

`C=2\pi r\\56.52=2\pi r\\(56.52)/(2\pi)=r\\9=r`

The radius is 9. We substitute the radius and the height into the volume formula:

`V=(1)/(3)\pi r^2h\\V=(1)/(3)\pi 9^2(5)\\V=(1)/(3)\pi 81*5\\V=(1)/(3)\pi 405\\V=(405)/(3)\pi\\V=135*\pi\\V= 423.9`

The solution is D.