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The Tweeter family has neglected their swimming pool this summer, and the water has evaporated from the pool to below the skimmer level.  The pool is a rectangular shape, with semicircles at either end. The rectangular dimensions of the pool are 18' by 36'. The pool has a constant depth of 7 feet. 

(a)  If the water level has fallen to 1 foot 3 inches below its proper level, how many gallons of water will be needed to fill it back to the proper level? Round anwer to the nearest gallon.
(Assume that 1 cubic foot of water = 7.48 gallons

(b) If a water tanker holds 1500 gallons of water, how many trips will the truck have to make to bring in the water necessary to fill the pool to the proper level?

A bird feeder at the Roberts’ house is a trapezoidal hopper feeder. The ends of the feeder which contain the seeds (the hopper) are trapezoids, where the smaller base measures 8", the longer base measures 12", and the height measures 10".The hopper measures 20" in length. 
The Roberts fill the feeder with birdseed an average of 10 times a month throughout the year.  A bag of bird seed weighs 40 lbs, and contains 1.25 cubic feet of seed.  How many bags of bird seed do the Roberts use in one year? (Round your answer to the nearest bag.)

 May 17, 2020
 #1
avatar+23566 
+1

Find cubic feet of water missing

36 ft x 18 ft x  15/12 ft = 810 ft3

 

810 ft^3 x 7.48 gal/ ft^3 = ~~6059 gallons

 

6059 gal / 1500 gal/load = ~~ 4 trips

 May 17, 2020
edited by ElectricPavlov  May 17, 2020
edited by ElectricPavlov  May 17, 2020
edited by ElectricPavlov  May 17, 2020
edited by ElectricPavlov  May 17, 2020
 #2
avatar+246 
0

thank you!

xxJenny1213xx  May 17, 2020
 #3
avatar+23566 
+1

Find the trapezoidal area

10 x (8+12)/2    = 100 in2

 

volume =  100 in2  x 20 in = 2000 in3

10 times per month x 12 months = 120 times per year

 

120 x 2000 = 240  000 in3       which converts to 138.89 cu ft per year

 

138.89 ft3 / 1.25 ft3/bag = 111.11 bags per yer ~~ 111 bags/yr

 May 17, 2020
edited by ElectricPavlov  May 17, 2020
 #4
avatar+246 
0

thank you!

xxJenny1213xx  May 17, 2020

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