Question

A cone has a diameter of 18 in. and a height of 14 in.

What is the volume of the cone?
Use 3.14 as an approximation for straight pi . Express your final answer in hundredths.
@sbcardinals

Answer 1

Cone's volume is
`V = (1)/(3)Sh`
where S - surface area, h - height
Surface area =
`\pi r^2`

r = 18/2=9
h= 14
π = 3.14

`V= (1)/(3) \pi r^2h= (1)/(3) *3.14*9^2*14= (1)/(3) *3.14*81*14=27*14*3.14`[/tex]

`V = 1186.92`
`in.^3`

Answer 2

1186.92 in^3

Explanation:

Known Variables:

Diameter = 18 in ⇒ Radius = 9

Height = 14 in

Pi = π = 3.14

Known Equation:

Volume of Cone =
`\pi r^(2) h / 3` = 3.14* (9 in)^2 * 14 in / 3 = 1186.92 in^3

The exact solution is attached also (with pi's full digits)