Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the radius of the pool is 10ft. Volume of a partial hemisphere is V=pi/6 (3r^2+h^2). Find the rate at which the depth of water is changing when the water depth is 5ft.

Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the radius of the pool is 10ft. Volume of a partial hemisphere is V=pi/6 (3r^2+h^2). Find the rate at which the depth of water is changing when the water depth is 5ft.

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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