5) Cone Surface Area in Three WaysThe cone z = √√√x² + y², for 0 ≤ ≤h has surface area √2h².In each case, recalculate the surface area of the cone.Note:• We are not counting the circular "cap".• The cone can be written as x² + y²-2²=0 with 0 ≤ ≤h.(a) Use the explicit surface parameterization r(x, y) = (x, y₁ √√x² + y²)(b) Use the cylindrical parameterization r(0, 2) = (2 cos 0, z sin 0, 2).(c) Use the spherical parameterization r(,0) = (cos, sin 0,2).

5) Cone Surface Area in Three Ways The cone z = √√x² + y², for 0 ≤ ≤h has surface area √2πh². In each case, recalculate the surface area of the cone. Note: • We are not counting the circular "cap". • The cone can be written as x² + y²-22=0 with 0 ≤ ≤h. (a) Use the explicit surface parameterization r(x, y) = (x,y₁ √√x² + y²) (b) Use the cylindrical parameterization r(0, 2) = (2 cos 0, z sin 0, 2). (c) Use the spherical parameterization r(p,0) = (cos, sin 0,2).

5) Cone Surface Area in Three Ways The cone z = √√x² + y², for 0 ≤ ≤h has surface area √2πh². In each case, recalculate the surface area of the cone. Note: • We are not counting the circular "cap". • The cone can be written as x² + y²-22=0 with 0 ≤ ≤h. (a) Use the explicit surface parameterization r(x, y) = (x,y₁ √√x² + y²) (b) Use the cylindrical parameterization r(0, 2) = (2 cos 0, z sin 0, 2). (c) Use the spherical parameterization r(p,0) = (cos, sin 0,2).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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