Answered

The surface area S of a cylinder is S = 2πr² + 2πrh where r is the base radius and h is the height. What is h, in inches, when S is 175 square inches and r is 6 inches?

Answer :

jcherry99

Answer:

h = -1.356

Step-by-step explanation:

Remark

This is one of those questions where you could solve for h in the formula and then just put values in for all the other variables. Since you have posted this on Brainly, I'll just use the formula given and my last step will be one of division

Formula

S = 2 * pi * r^2  + 2 * pi * r * h   Put the givens into the formula

Givens

S = 175 in^2

pi = 3.14

r = 6

h = ?

Solution

175 = 2 * 3.14 * 6^2 + 2 * 3.14 * 6 * h         Combine

175 = 226.08 + 37.68*h                             Subtract  226.08 from both sides

175-226.08 = 37.68*h                                Combine

-51.08 = 37,68*h                                         Divide by 37.68

h = - 51.08/37.68

h = -1.356

Comment

This is impossible. No value of measurement can be negative. But it is what you get when using the numbers given

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