QUESTION IMAGE
Question
- find the volume of the cone. round to the nearest hundredth. 22 m 7 m type a response
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 of the base and \( h \) is the height of the cone.
Step2: Identify the values of \( r \) and \( h \)
From the diagram, the radius \( r = 7\space m \) and the height \( h=22\space m \).
Step3: Substitute the values into the formula
Substitute \( r = 7 \) and \( h = 22 \) into the formula:
$$
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$$
Step4: Calculate the numerical value
Using \( \pi\approx3.14159 \), we have:
$$
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The volume of the cone is approximately \( 1128.91\space m^{3} \)