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on the back! 4. what is the volume of the cone? use 3.14 for π. (image …

Question

on the back!

  1. what is the volume of the cone? use 3.14 for π.

(image of a cone with radius 6 in. and height 18 in.)

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 and \(h\) is the height.

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

From the problem, \(r = 6\) inches and \(h=18\) inches, and \(\pi = 3.14\).

Step3: Substitute the values into the formula

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Step4: Simplify the expression

First, \(\frac{1}{3}\times36 = 12\). Then \(V=3.14\times12\times18\).

$$ LATEXBLOCK1 $$

Answer:

The volume of the cone is \(678.24\) cubic inches.