A raindrop is a perfect sphere with radius r cm and surface area S. Condensation accumulates on the raindrop at a rate equal to kS, where k= 8 cm/sec. What is the rate at which the radius of the raindrop increases? (Recall that the surface area of a sphere is 4T72 where r is the radius of the sphere and the Volume of a sphere is Tr)
A raindrop is a perfect sphere with radius r cm and surface area S. Condensation accumulates on the raindrop at a rate equal to kS, where k= 8 cm/sec. What is the rate at which the radius of the raindrop increases? (Recall that the surface area of a sphere is 4T72 where r is the radius of the sphere and the Volume of a sphere is Tr)
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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Transcribed Image Text:A raindrop is a perfect sphere with radius r cm and surface area S.
Condensation accumulates on the raindrop at a rate equal to kS, where k= 8
cm/sec. What is the rate at which the radius of the raindrop increases?
(Recall that the surface area of a sphere is 4Tr? wherer is the radius of the
sphere and the Volume of a sphere is Tr3 )
O 1/pi cm/sec
O 1/4pi cm/sec
1/8pi cm/sec
4 cm/sec
O 8 cm/sec
O 16 cm/sec
O 4pi cm/sec
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