Question

a water fountain sprays water in a cone shape. the radius of the water spray at the base is 2.5 meters, and the height of the spray is 6 meters. find the volume of the cone formed by the water. use 3.14 for π, and round your answer to the nearest tenth. use the keypad to type your answer in the box provided. the volume of the cone formed is cubic meters.

Explanation:

Step1: Recall the volume formula for a cone

The formula for the volume \(V\) of a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 2.5\) meters, \(h=6\) meters, and \(\pi = 3.14\).

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Step3: Simplify the expression

First, \(\frac{1}{3}\times6 = 2\). Then \(V=2\times3.14\times6.25\).

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Step4: Round to the nearest tenth

\(39.25\approx39.3\)

Answer:

\(39.3\)