If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 8 cm. (Round your answer to three decimal places.) -1 16 X cm/min Enhanced Feedback Please try again. Keep in mind that the surface area of a snowball (sphere) with radius r is A = 47r². Differentiate this equation with respect to time, t, using the dA Chain Rule, to find the equation for the rate at which the area is decreasing, Then, use the values from the exercise to evaluate the rate of change of the radius of the sphere. Have in mind that the diameter is twice the radius. dt --------

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...
Question

If a snow ball Melts so that it's surface area decreases at a rate of 2 cm^2/s. Find the rate at which the diameter decreases when the diameter is 8cm.

(I've also tried -1/8pi)

If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 8 cm.
(Round your answer to three decimal places.)
-1
16π
cm/min
Enhanced Feedback
Please try again. Keep in mind that the surface area of a snowball (sphere) with radius r is A = 47r². Differentiate this equation with respect to time, t, using the
dA
Then, use the values from the exercise to evaluate the rate of change of the
Chain Rule, to find the equation for the rate at which the area is decreasing,
dt
radius of the sphere. Have in mind that the diameter is twice the radius.
Transcribed Image Text:If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 8 cm. (Round your answer to three decimal places.) -1 16π cm/min Enhanced Feedback Please try again. Keep in mind that the surface area of a snowball (sphere) with radius r is A = 47r². Differentiate this equation with respect to time, t, using the dA Then, use the values from the exercise to evaluate the rate of change of the Chain Rule, to find the equation for the rate at which the area is decreasing, dt radius of the sphere. Have in mind that the diameter is twice the radius.
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