A swimming pool with a rectangular surface 21.0 m long and 15.0 m wide is being filed at the rate of 0.6 mimin. At one end it is 1.0 m deep, and at the other end it is 2.5 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? C 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 1.5 m, inclusive. v=D The water is rising at a rate of V when the pool is filled to a depth of 0.8 m. (Type an integer or decimal rounde ces as needed ) m3 m/ min m m/min

Elementary Geometry For College Students, 7e
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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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A swimming pool with a rectangular surface 21.0m long and 15.0 m wide is being filled at the rate of 0.6 m /min. At one end it is 1.0 m deep, and at the other end it is 2.5 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 1.5 m, inclusive.
The water is rising at a rate of
when the pool is filled to a depth of 0.8 m.
(Type an integer or decimal rounde
ces as needed.)
min
m3
m3 / min
m
m/ min
Transcribed Image Text:A swimming pool with a rectangular surface 21.0m long and 15.0 m wide is being filled at the rate of 0.6 m /min. At one end it is 1.0 m deep, and at the other end it is 2.5 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 1.5 m, inclusive. The water is rising at a rate of when the pool is filled to a depth of 0.8 m. (Type an integer or decimal rounde ces as needed.) min m3 m3 / min m m/ min
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