1. Suppose that the volume V of a certain cone can be expressed as V =nh, where h is the heightof the cone.a)By differentiating V = nh with respect to time t, derive an equation that relates h,dh/dt, and dV/dt as the cone shrinks.b)At a certain moment, the height of the cone is decreasing at 2 centimeters per second(cm/sec), and its height is 6 cm. At that same moment, what is the rate of change of thevolume of the cone? Do not round your answer. Use the correct unit for your answer.At a certain moment, the height of the cone is 8 centimeters, and its volume isc)decreasing at 160 cm3/sec. At that same moment, what is the rate of change of the heightof the cone? Do not round your answer. Use the correct unit for your answer.

For the solution of the problem follow the next steps.

Answered: 1. Suppose that the volume V of a…

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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