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Changing pyramid The volume of a pyramid with a square
Chapter 11, Problem 16E(choose chapter or problem)
Changing pyramid The volume of a pyramid with a square base x units on a side and a height of his \(V=\frac{1}{3} x^{2} h\).
a. Assume that x and h are functions of t. Find V'(t).
b. Suppose that x = 1/(t + 1) and h = 1/(t+1), for t \(\geq\) 0. Use part (a) to find V'(t).
c. Does the volume of the pyramid in part (b) increase or decrease as t increases?
Questions & Answers
QUESTION:
Changing pyramid The volume of a pyramid with a square base x units on a side and a height of his \(V=\frac{1}{3} x^{2} h\).
a. Assume that x and h are functions of t. Find V'(t).
b. Suppose that x = 1/(t + 1) and h = 1/(t+1), for t \(\geq\) 0. Use part (a) to find V'(t).
c. Does the volume of the pyramid in part (b) increase or decrease as t increases?
ANSWER:Solution 16EStep 1 of 3:Given :The volume of a right circular cylinder with radius r and height h is V = .(a)