2. Consider a tetrahedron (i.e. a pyramid whose horizontal cross sections are triangles, shown below) of height 8 whose base is an equilateral triangle with side length 4.
2. Consider a tetrahedron (i.e. a pyramid whose horizontal cross sections are triangles, shown below) of height 8 whose base is an equilateral triangle with side length 4.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![2. Consider a tetrahedron (i.e. a pyramid whose horizontal cross sections are triangles, shown below)
of height 8 whose base is an equilateral triangle with side length 4.
(a) Using properties of similar triangles, find a formula for the area, A(y), of a horizontal cross
section at height y. (The area of an equilateral triangle with side length s is s2.)
(b) Using part (a), set up the integral that gives the volume of the tetrahedron. [NOTE: You do
not need to compute the integral!]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F601ccad1-4d17-4947-9a80-69495cb62ebb%2F6b305d34-35d6-4552-bcc1-38a62f561562%2Fdz0rk7j_processed.png&w=3840&q=75)
Transcribed Image Text:2. Consider a tetrahedron (i.e. a pyramid whose horizontal cross sections are triangles, shown below)
of height 8 whose base is an equilateral triangle with side length 4.
(a) Using properties of similar triangles, find a formula for the area, A(y), of a horizontal cross
section at height y. (The area of an equilateral triangle with side length s is s2.)
(b) Using part (a), set up the integral that gives the volume of the tetrahedron. [NOTE: You do
not need to compute the integral!]
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