Question

PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? Please answer without using pi. Thank you

A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.

Answer 1

Answer: A

Explanation:

Answer 2

Volume of the cone =
`(1)/(3) \pi x^(2) h`

Given that the volume is 180 cubic inches

`(1)/(3) \pi r^(2) h` =
`180`

Given that the radius is 6m

`(1)/(3) \pi 6^(2) h` =
`180`

Evaluate

`(1)/(3) \pi (36) h` =
`180`

`12\pi h` =
`180`

`h` =
`180` ÷ (
`12 \pi`)

`h` = 4.77 ≈ 5 inches (Answer A)