6. The radius of a right circular cylinder is increasing at the rate of 3in/sec, while the height is decreasing at the rate of 10 in/sec. At what rate is the volume of the cylinder changing when the radius is 11 in. and the height is 12 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
Section9.3: 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...
icon
Related questions
Question
6. The radius of a right circular cylinder is increasing at the rate of 3in/sec, while the height is
decreasing at the rate of 10 in/sec. At what rate is the volume of the cylinder changing when the
radius is 11 in. and the height is 12 in.?
Transcribed Image Text:6. The radius of a right circular cylinder is increasing at the rate of 3in/sec, while the height is decreasing at the rate of 10 in/sec. At what rate is the volume of the cylinder changing when the radius is 11 in. and the height is 12 in.?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell