1. A spherical balloon is being inflated. The radius, r, of the balloon is 0 cm initially, and is increasing at a constant rate of 2 cm per second. a) State the equation for the volume, V, of the balloon with respect to the radius, r, and the equation for the radius of the balloon with respect to t, the time elapsed in seconds. i.e. find V(r) and r(t) b) Determine an algebraic representation of (V •r)(t). Describe what this formula means in words. c) Determine the volume of the balloon at 5 sec d) Suppose the balloon will burst when its volume is 10 000 cm³. How long will it take for the balloon to burst?

1. A spherical balloon is being inflated. The radius, r, of the balloon is 0 cm initially, and is increasing at a constant rate of 2 cm per second. a) State the equation for the volume, V, of the balloon with respect to the radius, r, and the equation for the radius of the balloon with respect to t, the time elapsed in seconds. i.e. find V(r) and r(t) b) Determine an algebraic representation of (V •r)(t). Describe what this formula means in words. c) Determine the volume of the balloon at 5 sec d) Suppose the balloon will burst when its volume is 10 000 cm³. How long will it take for the balloon to burst?

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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