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question 6: find the volume of the following: volume: _

Question

question 6:
find the volume of the following:

volume: _

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 of the base and \( h\) is the height of the cone.

Step2: Identify the values of \( r\) and \( h\)

From the problem, \( r = 9\) in and \( h=14\) in.

Step3: Substitute the values into the formula

Substitute \( r = 9\) and \( h = 14\) into \( V=\frac{1}{3}\pi r^{2}h\):

$$ LATEXBLOCK0 $$

If we take \( \pi\approx3.14\), then \( V = 378\times3.14=1186.92\) in³.

Answer:

\(1186.92\) in³ (when \( \pi\approx3.14\))