Question

no additional details were added for this assignment. study next figure. solve for the volume of the figure. use 3.14 for π. round your answer to the nearest tenth.

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: Identify the values of \(r\) and \(h\)

From the figure, \(r = 5.2\) in and \(h=14\) in.

Step3: Substitute the values into the formula

$$
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$$

Step4: Round to the nearest tenth

Rounding \(396.2261\cdots\) to the nearest tenth gives \(396.2\)

Answer:

\(396.2\) cubic inches