Question

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

What is the approximate volume of the tent?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth.
______ft3

Answer 1

Cone formula: 1/3(
`\pi r^(2) h)`

Step 1(Fill in formula): 1/3((3.14)(
`6^(2)`)(6))
Step 2 (Solve): 1/3((3.14)(36)(6))
Step 3 (Solve): 1/3(678.24)
Step 4 (Complete) : 226.08ft³

Answer 2

Here's the formula for the volume of a cone:


`V=(1)/(3)\pi\ r^2h`

Plug in 3.14 for
`\pi`.
Plug in 6 for the height
`h`.
Our radius is half of our diameter.
`r=6`.


`V\approx\frac13*3.14*6^2*6`

6² = 6 × 6 = 36.
Now we just multiply together 1/3, 3.14, 36, and 6 to get...


`V\approx226.08`

Rounding to the nearest tenth...


`\boxed{V\approx226.1\ ft^3}`