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A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters

NOTE: Figure not drawn to scale
Calculate the volume of the storage tank to the nearest hundredth.

1 Answer

5 votes

9514 1404 393

Answer:

4,811.49 m³

Explanation:

The volume of a cone is computed using the formula ...

V = (1/3)πr²h

Using the given numbers, we find the volume to be ...

V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³

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Additional comment

If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.

User Venkat Ramana
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