Chapter 5.4, Problem 11E

Alex bought a new aquar He is in ihe of a right rectangular prism and the dimensions, in inches, are 36 x 19 x 24. During the set-up, Alex fills the aquarium with 6, 039 in of water. Part A What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent. Enter your answer in the space provided. Part B The aquarium is advertised as being able to hold a maximum of 65 gallons of water as the aquarium is not meant to be completely filled with water. Assume Alex fills the aquarium to its maximum capacity. Based on the dimensions of the aquarium, what percent of the aquarium should not be filled with water? Round your answer to the nearest whole percent. 1 gallon = 231 cubic inches Enter your answer in the space provided. Part C Alex has a bucket in the shape of a cylinder. The diameter of the bucket is 12 inches and its height is 11.25 inches. How many buckets would it take to fill an empty aquarium with 65 gallons of water? Show your work.…

Time for a real-life calculation! ■ A farmer needs 150 acre- -feet of water after his spring planting. ■ The city owns the flume that delivers the water, which has the following properties: The cross-sectional shape is a rectangle with dimensions 3 feet by 4 feet When the water flow is turned on, water flows down the flume at 30 miles/hour, and the flume is filled during that time The city charges $50/min for water usage for farms. ■ Question: what cost will the farmer pay for this watering? O O 0

CLIMBING IN YOSEMITE David and Emily are climbing El Capitan, a big cliff wall in Yosemite National Park. David is on the ground holding the rope attached to a carabiner (a rope "pulley" that is on the wall) above Emily as she climbs. When Emily stops to rest, David wonders how high she has climbed. The rope is attached to his waist, about 3 feet off the ground, and he has let out 48 feet of rope which goes up to the carabiner and then back down the wall to Emily's harness. The rope at David's waist makes a 55° angle with the ground and he is standing 20 feet away from the base of the wall. a. Assuming that the rope is taut (pulled tight), approximately how long is the rope between David and the carabiner above Emily? b. How high up the wall has Emily climbed? Describe your method.