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Volume
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1.   A water tank has been purchased for the farm. It will be used to water cattle. It is an oval shaped metal container that is 3.2 feet tall. The area of the bottom of the tank is 7.8 square feet. If the cattle drink one hundred eighty-eight cubic feet of water a day, how many times per day will the tank have to be filled?

2.   * This is a pre-made sheet.
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3.   A pillar from an ancient city was found buried in the ground. It had a cross-sectional shape like that shown in the figure. If the area of the cross section is thirteen and eight hundredths square meters, and the pillar was fifteen and four tenths meters tall, what was the total volume of stone contained by the pillar?


4.   An underground chamber has been discovered in an old mansion. The chamber is thought to have been used for storing ammunition. The dimensions of the chamber are 11 feet by 8 feet by 8 feet. An old ammunition crate was also found in the chamber and it had dimensions of 1 foot by 1 foot by 4 feet. What is the maximum number of ammunition boxes of that size that could be put in the underground chamber?

5.   Noah has a great idea. He wants to fill a box with hot liquid chocolate and let it cool until it solidifies. The box is shaped like the figure and has a bottom area of 16 in2. If he has 41.6 cubic inches of chocolate and he wants the box to be as tall as possible, how big should he make the box?


6.   Captain Howard had his crew paint the smokestack on his ship the Sea Snail. The smokestack is shaped like a cylinder and is 39 feet tall. The radius of the smokestack's base is four feet. What is the volume of the smokestack?


 


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