Explanation Given: The shape of the drinking paper cup is cone and which is constructed from 6 π in . 2 of paper. The height of the cone is 4 in. The lateral surface area S = π r r 2 + h 2 . Definition used: General quadratic equation : “Given that a , b , and c are constant ( a ≠ 0 ) , the equation a x 2 + b x 2 + c = 0 is called the general quadratic equation in x ”. Calculation: It is given that the lateral surface area of the cone is 6 π in . 2 . Obtain the radius of the cone as follows. Substitute S = 6 π in . 2 and h = 4 in . in S = π r r 2 + h 2 . 6 π = π r r 2 + 4 2 6 = r r 2 + 16 ( 6 ) 2 = ( r r 2 + 16 ) 2 [ Square on both sides ] 36 = r 2 ( r 2 + 16 ) r 4 + 16 r 2 − 36 = 0 In order to find the value of r , first rewrite the equation in quadratic form. Substitute y = r 2 in r 4 + 16 r 2 − 36 = 0 and simplify the equation as follows

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 14.3, Problem 36E

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The radius of the cone.

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Chapter 14 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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