Question

a cylinder has a radius of 6 units and a height of 15 units. what is the volume of a cone with the same radius and height? use 3.14 for π. dont round off any value while computing. round off your final answer to the nearest tenth. use the keypad to type your answer in the box provided. the volume of the cone is cubic units

Explanation:

Step1: Recall the formula for the volume of a cone

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

Step2: Substitute the given values into the formula

Given \(r = 6\) units, \(h=15\) units, and \(\pi = 3.14\).

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Step3: Simplify the expression

First, \(\frac{1}{3}\times15 = 5\). Then \(V=3.14\times36\times5\).

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Answer:

\(565.2\)