Air is being pumped into a sperical balloon so that its volume increases at a 12. rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4 feet?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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12. in) Air is being pumped into a sperical balloon so that its volume increases at a
rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4
feet?
A ladder 13 ft. long rests against a vertical wall. If the bottom of the ladder
13
slides away from the wall at a rate of 3 ft./sec., how fast is the top of the ladder sliding down
the wall when the bottom of the ladder is 5 ft. from the wall?
Transcribed Image Text:12. in) Air is being pumped into a sperical balloon so that its volume increases at a rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4 feet? A ladder 13 ft. long rests against a vertical wall. If the bottom of the ladder 13 slides away from the wall at a rate of 3 ft./sec., how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft. from the wall?
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