The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s. At what rate is the volume of the cone changing when the radius is 113 in. and the height is 135 in.?

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.CR: Review Exercises
Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...
Question
The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s. At what rate is the volume of the cone changing when the radius is
113 in. and the height is 135 in.?
O a. 111,611.99 in/s
O b. 108,611.99 in/s
O 105,611.99 in/s
OC.
O d. 117,611.99 in³Is
315
O e. 114,611.99 in³/s
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Transcribed Image Text:The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing at a rate of 3.6 in/s. At what rate is the volume of the cone changing when the radius is 113 in. and the height is 135 in.? O a. 111,611.99 in/s O b. 108,611.99 in/s O 105,611.99 in/s OC. O d. 117,611.99 in³Is 315 O e. 114,611.99 in³/s Question 1 of 5 Moving to another question will save this response. Close Window 3:37 F 4/16/2 0 耳口 O Type here to search
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