Show work The volume V of a right circular cylinder is given by theformula V = Tr²h, where r is the radius and h is theheight.(a) Find a formula for the instantaneous rate of changeof V with respect to r ifr changes and h remainsconstant.(b) Find a formula for the instantaneous rate of change%3Dof V with respect to h ifh changes and r remainsconstant.(c) Suppose that h has a constant value of 4 in, but rvaries. Find the rate of change of V with respect to rat the point where r = 6 in.d) Suppose that r has a constant value of 8 in, but hvaries. Find the instantaneous rate of change of Vwith respect to h at the point where h = 10 in.%3D

Answered: Image /qna-images/answer/8dd6730c-9730-4d9a-9720-a798e31023c3.jpg

The volume V of a right circular cylinder is given by the formula V = Tr'h, where r is the radius and h is the height. (a) Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remains constant. (b) Find a formula for the instantaneous rate of change of V with respect to h if h changes and r remains constant. (c) Suppose that h has a constant value of 4 in, but r varies. Find the rate of change of V with respect to r at the point where r = 6 in. d) Suppose that r has a constant value of 8 in, but h varies. Find the instantaneous rate of change of V with respect to h at the point where h = 10 in. %3D

The volume V of a right circular cylinder is given by the formula V = Tr'h, where r is the radius and h is the height. (a) Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remains constant. (b) Find a formula for the instantaneous rate of change of V with respect to h if h changes and r remains constant. (c) Suppose that h has a constant value of 4 in, but r varies. Find the rate of change of V with respect to r at the point where r = 6 in. d) Suppose that r has a constant value of 8 in, but h varies. Find the instantaneous rate of change of V with respect to h at the point where h = 10 in. %3D

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...

See similar textbooks