Question

what is the volume of a right cone with a height of 12 centimeters and a base with a radius of 4 centimeters? 1 of 7 question 64πcm³ 16πcm³ 192πcm³ 96πcm³

Explanation:

Step1: Recall the formula for the volume of a cone

The volume formula 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.

Step2: Substitute the given values into the formula

Given \(r = 4\) cm and \(h=12\) cm. Substitute these values into the formula:

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Step3: Simplify the expression

First, calculate \(\frac{1}{3}\times16\times12\). \(\frac{1}{3}\times12 = 4\), then \(4\times16=64\). So \(V = 64\pi\) \(cm^{3}\)

Answer:

A. \(64\pi cm^{3}\)