The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius (r). The dimension at a given instant (t) are: h(t)- 2t-6 (cm) ()-8-t (cm) Find the rate of change of the volume at t=2 sec.

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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The solid shown in figure consists of cone of radius (r) and height (h) and
a hemisphere of radius (r). The dimension at a given instant (t) are:
h(t)- 2t-6 (cm)
r(t)-8-t (cm)
Find the rate of change of the volume at t=2 sec.
Transcribed Image Text:The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius (r). The dimension at a given instant (t) are: h(t)- 2t-6 (cm) r(t)-8-t (cm) Find the rate of change of the volume at t=2 sec.
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