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Type: Multiple-Choice
Category: Three Dimensional Shapes
Level: Grade 11
Standards: HSG-SRT.B.5, HSG-MG.A.3
Author: nsharp1
Created: 4 years ago

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Three Dimensional Shapes Question

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Grade 11 Three Dimensional Shapes CCSS: HSG-SRT.B.5, HSG-MG.A.3

A construction crew is working on installing a metal barrier. Thus far, they have completed pouring the concrete and setting some metal poles in the concrete that will be used later. The poles are cylinders, 16 cm in diameter. Most of the height of the pole is buried in concrete; the portion that sticks up above ground is 40 cm high. In order to avoid accidents, the construction crew has to put orange traffic cones on top of the metal poles. What is the height of the shortest traffic cone possible that will fit over these poles, given that the ratio of the radius (of the circular base) to the height of traffic cones is 1:4? Round the answer to the nearest centimeter, if necessary.
  1. 48 cm
  2. 72 cm
  3. 104 cm
  4. 168 cm