1. (2 points) State the formula for the area of an equilateral triangle with side length a. 2. (13 points) Consider the solid whose base is the region bounded by the curves y = Vx, y = 0 and x = 4, and whose cross-sections perpendicular to the x-axis are equilateral triangles. (a) (8 points) Use the slicing method to write an integral representing the volume of this solid. (b) (5 points) Find the volume by evaluating the above integral.

1. (2 points) State the formula for the area of an equilateral triangle with side length a. 2. (13 points) Consider the solid whose base is the region bounded by the curves y = Vx, y = 0 and x = 4, and whose cross-sections perpendicular to the x-axis are equilateral triangles. (a) (8 points) Use the slicing method to write an integral representing the volume of this solid. (b) (5 points) Find the volume by evaluating the above integral.

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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