Question

1. a traffic cone has a diameter of 8 inches and a height of 12 inches. what is its volume in terms of π?

a. 64π in³
b. 48π in³
c. 192π in³
d. 96π in³

Explanation:

Step1: Find the radius

The diameter \(d = 8\) inches. The radius \(r=\frac{d}{2}=\frac{8}{2}=4\) inches.

Step2: Use the cone - volume formula

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4\) inches and \(h=12\) inches into the formula.

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Answer:

A. \(64\pi\mathrm{in}^{3}\)