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2. find the volume of the cone. round to the nearest hundredth. 22 m 7 …

Question

  1. find the volume of the cone. round to the nearest hundredth. 22 m 7 m type a response

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 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:

$$ LATEXBLOCK0 $$

Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have:

$$ LATEXBLOCK1 $$

Answer:

The volume of the cone is approximately \( 1128.91\space m^{3} \)