A swimming pool with a rectangular surface 22.0 m long and 9.0 m wide is being filled at the rate of 0.6 m /min. At one end it is 1.2 m deep, and at the other end it is 2.9 m deep, with a constant slope between ends. How fast is the height of water rising when the depth of water at the deep end is 0.8 m? ...... Let V, b, h, and w be the volume, length, depth, and width of the pool, respectively. Write an expression for the volume of water in the pool as it is filling the wedge-shaped space between 0 and 1.7 m, inclusive. V = -bwh The water is rising at a rate of m/ min when the pool is filled to a depth of 0.8 m. (Type an integer or decimal rounded to four decimal places as needed.)

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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The water is rising at a rate of??
A swimming pool with a rectangular surface 22.0 m long and 9.0 m wide is being filled at the rate of 0.6 m /min. At one end it is 1.2 m deep, and at the other end it is
2.9 m deep, with a constant slope between ends. How fast is the height of water rising when the depth of water at the deep end is 0.8 m?
Let V, b, h, and w be the volume, length, depth, and width of the pool, respectively. Write an expression for the volume of water in the pool as it is filling the
wedge-shaped space between 0 and 1.7 m, inclusive.
V =
bwh
The water is rising at a rate of
m/ min when the pool is filled to a depth of 0.8 m.
(Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:A swimming pool with a rectangular surface 22.0 m long and 9.0 m wide is being filled at the rate of 0.6 m /min. At one end it is 1.2 m deep, and at the other end it is 2.9 m deep, with a constant slope between ends. How fast is the height of water rising when the depth of water at the deep end is 0.8 m? Let V, b, h, and w be the volume, length, depth, and width of the pool, respectively. Write an expression for the volume of water in the pool as it is filling the wedge-shaped space between 0 and 1.7 m, inclusive. V = bwh The water is rising at a rate of m/ min when the pool is filled to a depth of 0.8 m. (Type an integer or decimal rounded to four decimal places as needed.)
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