Question: 8. [-/3 Points] DETAILS MY NOTES (Old Final Exam Problem-A2011) A right circular cone of height h and base radius r has total surface area

8. [-/3 Points] DETAILS MY NOTES (Old Final Exam Problem-A2011) A

8. [-/3 Points] DETAILS MY NOTES (Old Final Exam Problem-A2011) A right circular cone of height h and base radius r has total surface area S consisting of its base area plus its side area, leading to the formula: S=TR+ n rv 12+h2 Suppose you start out with a cone of height 8 cm and base radius 6 cm, and you want to change the dimensions in such a way that the total surface area remains the same. Suppose you increase the height by 60/100. In this problem, use tangent line approximation to estimate the new value of r so that the new cone has the same total surface area. The estimated value of r =

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