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High School Math Algebra EBK PRE-ALGEBRA

To calculate approximate surface area of a cone

To calculate approximate surface area of a cone

EBK PRE-ALGEBRA

EBK PRE-ALGEBRA

12th Edition

ISBN: 9780358403685

Author: Larson

Publisher: HM CC

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Concept explainers

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.

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

Chapter 10.6, Problem 40E

To determine

To calculate approximate surface area of a cone

Expert Solution & Answer

Answer to Problem 40E

319 m²

Explanation of Solution

Given information:

Height( h ) of the cone is 14.5 meters

Base diameter( d ) of the cone is 10 meters

Formula used:

The diameter of base of cone( d ) = EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 1

Surface area of a cone( S )

EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 2

Calculation:

substituting the value of base diameter of cone to find base radius( r ) of cone

10 EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 3

answer is-

r =5

substituting the value of radius( r ) and height( h ) in the cone formula to find surface area of the cone

S EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 4

EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 5

EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 6

EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 7

nearly answer is

EBK PRE-ALGEBRA, Chapter 10.6, Problem 40E , additional homework tip 8 m²

Hence, approximate answer is

=319 m²

Base diameter of cone is looks like diameter of circle that's why formula of diameter of circle is used

Value of pi upto 2 decimal points is 3.14

Square of 14.5 is 210.25

Square root of 235.25 upto 2 decimal points is 15.33

Chapter 10.6, Problem 39E

Chapter 10.6, Problem 41E

Chapter 10 Solutions

EBK PRE-ALGEBRA

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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The surface area and volume of cone, cylinder, prism and pyramid; Author: AtHome Tuition;https://www.youtube.com/watch?v=SlaQmaJCOt8;License: Standard YouTube License, CC-BY