Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Concept explainers

Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…
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Question
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Chapter 10, Problem 31RP
To determine

To find : Length of cable needed to hold down the container.

Expert Solution & Answer
Check Mark

Answer to Problem 31RP

Minimum length of cable required = 22.812 ft.

Explanation of Solution

Given information :

Diameter of cylindrical container = 6 ft.

Formula Used:

  tanθ=pq=PerpendicularBase

Perimeter of circle = 2πr

Calculation :

RO = 3 ft.

        tan3O'=RORP⇒   13=3RP⇒   RP=33 ft.∴    RP+QS=63ft.=10.392 ft.

  ∵ Semi-perimeter of cylindrical = πr

  =(3.14×3) ft.=12.42 ft.

So, minimum length of cable required.

  =(12.42+10.392) ft.=22.812 ft.

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Chapter 10, Problem 30RP
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Chapter 11.1, Problem 1PSA

Chapter 10 Solutions

Geometry For Enjoyment And Challenge

Ch. 10.1 - Prob. 1PSACh. 10.1 - Prob. 2PSACh. 10.1 - Prob. 3PSACh. 10.1 - Prob. 4PSACh. 10.1 - Prob. 5PSACh. 10.1 - Prob. 6PSACh. 10.1 - Prob. 7PSACh. 10.1 - Prob. 8PSACh. 10.1 - Prob. 9PSACh. 10.1 - Prob. 10PSB
Ch. 10.1 - Prob. 11PSBCh. 10.1 - Prob. 12PSBCh. 10.1 - Prob. 13PSBCh. 10.1 - Prob. 14PSBCh. 10.1 - Prob. 15PSBCh. 10.1 - Prob. 16PSBCh. 10.1 - Prob. 17PSBCh. 10.1 - Prob. 18PSBCh. 10.1 - Prob. 19PSCCh. 10.1 - Prob. 20PSCCh. 10.1 - Prob. 21PSCCh. 10.1 - Prob. 22PSCCh. 10.1 - Prob. 23PSCCh. 10.1 - Prob. 24PSCCh. 10.1 - Prob. 25PSCCh. 10.2 - Prob. 1PSACh. 10.2 - Prob. 2PSACh. 10.2 - Prob. 3PSACh. 10.2 - Prob. 4PSACh. 10.2 - Prob. 5PSACh. 10.2 - Prob. 6PSACh. 10.2 - Prob. 7PSBCh. 10.2 - Prob. 8PSBCh. 10.2 - Prob. 9PSBCh. 10.2 - Prob. 10PSBCh. 10.2 - Prob. 11PSBCh. 10.2 - Prob. 12PSBCh. 10.2 - Prob. 13PSBCh. 10.2 - Prob. 14PSCCh. 10.2 - Prob. 15PSCCh. 10.2 - Prob. 16PSCCh. 10.3 - Prob. 1PSACh. 10.3 - Prob. 2PSACh. 10.3 - Prob. 3PSACh. 10.3 - Prob. 4PSACh. 10.3 - Prob. 5PSACh. 10.3 - Prob. 6PSACh. 10.3 - Prob. 7PSACh. 10.3 - Prob. 8PSACh. 10.3 - Prob. 9PSACh. 10.3 - Prob. 10PSACh. 10.3 - Prob. 11PSBCh. 10.3 - Prob. 12PSBCh. 10.3 - Prob. 13PSBCh. 10.3 - Prob. 14PSBCh. 10.3 - Prob. 15PSBCh. 10.3 - Prob. 16PSBCh. 10.3 - Prob. 17PSBCh. 10.3 - Prob. 18PSBCh. 10.3 - Prob. 19PSBCh. 10.3 - Prob. 20PSBCh. 10.3 - Prob. 21PSCCh. 10.3 - Prob. 22PSCCh. 10.4 - Prob. 1PSACh. 10.4 - Prob. 2PSACh. 10.4 - Prob. 3PSACh. 10.4 - Prob. 4PSACh. 10.4 - Prob. 5PSACh. 10.4 - Prob. 6PSACh. 10.4 - Prob. 7PSACh. 10.4 - Prob. 8PSACh. 10.4 - Prob. 9PSACh. 10.4 - Prob. 10PSBCh. 10.4 - Prob. 11PSBCh. 10.4 - Prob. 12PSBCh. 10.4 - Prob. 13PSBCh. 10.4 - Prob. 14PSBCh. 10.4 - Prob. 15PSBCh. 10.4 - Prob. 16PSBCh. 10.4 - Prob. 17PSBCh. 10.4 - Prob. 18PSBCh. 10.4 - Prob. 19PSBCh. 10.4 - Prob. 20PSBCh. 10.4 - Prob. 21PSCCh. 10.4 - Prob. 22PSCCh. 10.4 - Prob. 23PSCCh. 10.4 - Prob. 24PSCCh. 10.4 - Prob. 25PSCCh. 10.4 - Prob. 26PSCCh. 10.4 - Prob. 27PSCCh. 10.4 - Prob. 28PSCCh. 10.4 - Prob. 29PSCCh. 10.5 - Prob. 1PSACh. 10.5 - Prob. 2PSACh. 10.5 - Prob. 3PSACh. 10.5 - Prob. 4PSACh. 10.5 - Prob. 5PSACh. 10.5 - Prob. 6PSACh. 10.5 - Prob. 7PSACh. 10.5 - Prob. 8PSACh. 10.5 - Prob. 9PSACh. 10.5 - Prob. 10PSACh. 10.5 - Prob. 11PSACh. 10.5 - Prob. 12PSACh. 10.5 - Prob. 13PSACh. 10.5 - Prob. 14PSACh. 10.5 - Prob. 15PSACh. 10.5 - Prob. 16PSACh. 10.5 - Prob. 17PSACh. 10.5 - Prob. 18PSBCh. 10.5 - Prob. 19PSBCh. 10.5 - Prob. 20PSBCh. 10.5 - Prob. 21PSBCh. 10.5 - Prob. 22PSBCh. 10.5 - Prob. 23PSBCh. 10.5 - Prob. 24PSBCh. 10.5 - Prob. 25PSBCh. 10.5 - Prob. 26PSBCh. 10.5 - Prob. 27PSBCh. 10.5 - Prob. 28PSBCh. 10.5 - Prob. 29PSBCh. 10.5 - Prob. 30PSBCh. 10.5 - Prob. 31PSCCh. 10.5 - Prob. 32PSCCh. 10.5 - Prob. 33PSCCh. 10.5 - Prob. 34PSCCh. 10.5 - Prob. 35PSCCh. 10.5 - Prob. 36PSCCh. 10.6 - Prob. 1PSACh. 10.6 - Prob. 2PSACh. 10.6 - Prob. 3PSACh. 10.6 - Prob. 4PSACh. 10.6 - Prob. 5PSACh. 10.6 - Prob. 6PSACh. 10.6 - Prob. 7PSACh. 10.6 - Prob. 8PSACh. 10.6 - Prob. 9PSACh. 10.6 - Prob. 10PSACh. 10.6 - Prob. 11PSACh. 10.6 - Prob. 12PSACh. 10.6 - Prob. 13PSBCh. 10.6 - Prob. 14PSBCh. 10.6 - Prob. 15PSBCh. 10.6 - Prob. 16PSBCh. 10.6 - Prob. 17PSBCh. 10.6 - Prob. 18PSBCh. 10.6 - Prob. 19PSBCh. 10.6 - Prob. 20PSBCh. 10.6 - Prob. 21PSBCh. 10.6 - Prob. 22PSCCh. 10.6 - Prob. 23PSCCh. 10.6 - Prob. 24PSCCh. 10.6 - Prob. 25PSCCh. 10.6 - Prob. 26PSCCh. 10.6 - Prob. 27PSCCh. 10.6 - Prob. 28PSCCh. 10.7 - Prob. 1PSACh. 10.7 - Prob. 2PSACh. 10.7 - Prob. 3PSACh. 10.7 - Prob. 4PSACh. 10.7 - Prob. 5PSACh. 10.7 - Prob. 6PSACh. 10.7 - Prob. 7PSACh. 10.7 - Prob. 8PSACh. 10.7 - Prob. 9PSBCh. 10.7 - Prob. 10PSBCh. 10.7 - Prob. 11PSBCh. 10.7 - Prob. 12PSBCh. 10.7 - Prob. 13PSBCh. 10.7 - Prob. 14PSBCh. 10.7 - Prob. 15PSBCh. 10.7 - Prob. 16PSBCh. 10.7 - Prob. 17PSBCh. 10.7 - Prob. 18PSBCh. 10.7 - Prob. 19PSBCh. 10.7 - Prob. 20PSBCh. 10.7 - Prob. 21PSCCh. 10.7 - Prob. 22PSCCh. 10.7 - Prob. 23PSCCh. 10.7 - Prob. 24PSCCh. 10.7 - Prob. 25PSCCh. 10.7 - Prob. 26PSCCh. 10.7 - Prob. 27PSCCh. 10.8 - Prob. 1PSACh. 10.8 - Prob. 2PSACh. 10.8 - Prob. 3PSACh. 10.8 - Prob. 4PSACh. 10.8 - Prob. 5PSACh. 10.8 - Prob. 6PSACh. 10.8 - Prob. 7PSACh. 10.8 - Prob. 8PSBCh. 10.8 - Prob. 9PSBCh. 10.8 - Prob. 10PSBCh. 10.8 - Prob. 11PSBCh. 10.8 - Prob. 12PSBCh. 10.8 - Prob. 13PSBCh. 10.8 - Prob. 14PSBCh. 10.8 - Prob. 15PSBCh. 10.8 - Prob. 16PSBCh. 10.8 - Prob. 17PSCCh. 10.8 - Prob. 18PSCCh. 10.8 - Prob. 19PSCCh. 10.8 - Prob. 20PSCCh. 10.9 - Prob. 1PSACh. 10.9 - Prob. 2PSACh. 10.9 - Prob. 3PSACh. 10.9 - Prob. 4PSACh. 10.9 - Prob. 5PSACh. 10.9 - Prob. 6PSACh. 10.9 - Prob. 7PSACh. 10.9 - Prob. 8PSACh. 10.9 - Prob. 9PSBCh. 10.9 - Prob. 10PSBCh. 10.9 - Prob. 11PSBCh. 10.9 - Prob. 12PSBCh. 10.9 - Prob. 13PSBCh. 10.9 - Prob. 14PSBCh. 10.9 - Prob. 15PSBCh. 10.9 - Prob. 16PSCCh. 10.9 - Prob. 17PSCCh. 10 - Prob. 1RPCh. 10 - Prob. 2RPCh. 10 - Prob. 3RPCh. 10 - Prob. 4RPCh. 10 - Prob. 5RPCh. 10 - Prob. 6RPCh. 10 - Prob. 7RPCh. 10 - Prob. 8RPCh. 10 - Prob. 9RPCh. 10 - Prob. 10RPCh. 10 - Prob. 11RPCh. 10 - Prob. 12RPCh. 10 - Prob. 13RPCh. 10 - Prob. 14RPCh. 10 - Prob. 15RPCh. 10 - Prob. 16RPCh. 10 - Prob. 17RPCh. 10 - Prob. 18RPCh. 10 - Prob. 19RPCh. 10 - Prob. 20RPCh. 10 - Prob. 21RPCh. 10 - Prob. 22RPCh. 10 - Prob. 23RPCh. 10 - Prob. 24RPCh. 10 - Prob. 25RPCh. 10 - Prob. 26RPCh. 10 - Prob. 27RPCh. 10 - Prob. 28RPCh. 10 - Prob. 29RPCh. 10 - Prob. 30RPCh. 10 - Prob. 31RP

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