The surface area of a sphere, initially zero, increases uniformly at 4 square inches pe second. Find the rate at which the radius is increasing at the end of 2 seconds.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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5. The surface area of a sphere, initially zero, increases uniformly at 4 square inches per
second. Find the rate at which the radius is increasing at the end of 2 seconds.
6. What is the rate at which the two hands of the clock are separating when the time is two
o'clock if the length of the hour hand is 1 inch and that of the minute hand is 1.6 inches?
Transcribed Image Text:5. The surface area of a sphere, initially zero, increases uniformly at 4 square inches per second. Find the rate at which the radius is increasing at the end of 2 seconds. 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock if the length of the hour hand is 1 inch and that of the minute hand is 1.6 inches?
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