Question

a clown wants to fill his hat with sand. the hat is shaped like a cone. his hat is 60 centimeters in height and has a base with a diameter of 20 centimeters. how many cubic meters of sand does he need to fill his hat? (note: 1 meter = 100 centimeters) 4 of 4 question 80π 20π 0.002π 0.008π

Explanation:

Step1: Convert units

Since \(1\) meter \( = 100\) centimeters, the height \(h=60\) centimeters \(=\frac{60}{100}=0.6\) meters, and the diameter \(d = 20\) centimeters \(=\frac{20}{100}=0.2\) meters. The radius \(r=\frac{d}{2}=\frac{0.2}{2}=0.1\) meters.

Step2: Use the cone - volume formula

The volume formula of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 0.1\) and \(h=0.6\) into the formula:

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Answer:

\(0.002\pi\) (the third option)