Question

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find the volume of a right circular cone that has a height of 9.6 cm and a base with a radius of 12.2 cm. round your answer to the nearest tenth of a cubic centimeter.
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Explanation:

Step1: Recall the formula for the volume of a cone

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

Step2: Substitute the given values into the formula

We are given that \( r = 12.2\) cm and \( h=9.6\) cm. Substituting these values into the formula:

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Step3: Calculate the value

Using \( \pi\approx3.1416\), we have \( V\approx3.1416\times476.285\approx1496.3\)

Answer:

\(1496.3\)