Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area decreases at a rate of 7 cm/min, find the rate at which the diameter decreases when the diameter is 9 cm. (Round your answer to four decimal places.) Hint: The surface area of a sphere of radius r is S = 4 a r2. --Select---

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 22A: Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise...
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Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area decreases at a rate of 7 cm²/min,
find the rate at which the diameter decreases when the diameter is 9 cm. (Round your answer to four decimal places.)
Hint: The surface area of a sphere of radius r is S = 4 ↑ r².
---Select---
Transcribed Image Text:Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area decreases at a rate of 7 cm²/min, find the rate at which the diameter decreases when the diameter is 9 cm. (Round your answer to four decimal places.) Hint: The surface area of a sphere of radius r is S = 4 ↑ r². ---Select---
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