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a cone has a height of 2.5 in. and a radius of 5 in. what is the volume…

Question

a cone has a height of 2.5 in. and a radius of 5 in. what is the volume of the cone? (use 3.14 for π. round the answer to two decimal places.) 196.25 in³ 588.75 in³ 32.71 in³ 65.42 in³

Explanation:

Step1: Recall the formula for the volume of 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 \( r = 5\) in, \( h=2.5\) in, and \( \pi = 3.14\).

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Answer:

\(65.42\ \text{in}^{3}\)