QUESTION IMAGE
Question
a traffic cone has a diameter of 8 inches and a height of 12 inches. what is its volume in terms of π?
a. 192π in³
b. 48π in³
c. 96π in³
d. 64π in³
what real - world object is an example of a cone?
a. basketball
b. book
c. table
d. ice cream cone
Step1: Find the radius
The diameter \(d = 8\) inches. The radius \(r=\frac{d}{2}=\frac{8}{2}=4\) inches.
Step2: Use the volume formula for a cone
The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4\) inches and \(h=12\) inches.
A basketball is a sphere, a book is a rectangular - prism (or cuboid), a table (assuming a common table shape) is usually a combination of rectangular - prisms. An ice - cream cone has a conical shape.
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d. \(64\pi\mathrm{in}^{3}\)