Question

during a construction project, heavy rain filled construction cones with water. the diameter of a cone is 12 in. and the height is 27 in.
what is the volume of the water that filled one cone?
enter your answer as a decimal in the box. use 3.14 for pi

Explanation:

Step1: Find the radius of the cone

The diameter \(d = 12\) in. The radius \(r=\frac{d}{2}\), so \(r=\frac{12}{2}=6\) in.

Step2: Use the formula for the volume of a cone

The formula for the volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 6\), \(h = 27\), and \(\pi=3.14\) into the formula.

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First, calculate \(\frac{1}{3}\times36 = 12\). Then \(V=3.14\times12\times27\).
\(12\times27 = 324\). So \(V=3.14\times324\)
\(3.14\times324=(3 + 0.14)\times324=3\times324+0.14\times324=972+45.36 = 1017.36\)

Answer:

\(1017.36\)