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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

Verified Answer :

RedRicin

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

\(V=\frac{1}{3}\pi\ r^2h\)

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

\(V\approx\frac13\times3.14\times6^2\times6\)

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...

\(\boxed{V\approx226.1\ ft^3}\)

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

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