QUESTION IMAGE
Question
question 6:
find the volume of the following:
volume: _
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 \( V=\frac{1}{3}\pi r^{2}h\):
$$
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$$
If we take \( \pi\approx3.14\), then \( V = 378\times3.14=1186.92\) in³.
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\(1186.92\) in³ (when \( \pi\approx3.14\))