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1. The volume V of a right circular cone of radius r and height h is given by V = rh. %3D (a) Find a formula for the instantaneous rate of change of V with respect to r ifr 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.

1. The volume V of a right circular cone of radius r and height h is given by V = rh. %3D (a) Find a formula for the instantaneous rate of change of V with respect to r ifr 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. The volume V of a right circular cone of radius r and height h is given by V = r?h. (a) Find a formula for the instantaneous rate of change of V with respect to r ifr changes and h remains constant. (b) Find a formula for the instantaneous rate of change of V with respect to h ifh changes and r remains constant.
Transcribed Image Text:1. The volume V of a right circular cone of radius r and height h is given by V = r?h. (a) Find a formula for the instantaneous rate of change of V with respect to r ifr changes and h remains constant. (b) Find a formula for the instantaneous rate of change of V with respect to h ifh changes and r remains constant.
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