1. A.A giant cylinder acts as a tank of water for Bob’s carwash. Bob wants to see how long it takes him to fill the cylinder with a hose that fills at the constant rate of 2 cubic meters every second. The tank has a diameter of 10 meters and a height of 20 meters. How long will it take Bob to fill it with the hose? B.What is the height of the water level at the volume of 500 cubic meters? C.What is the volume of the water level at a height of 10 meters? D.What is the volume o the water after 300 seconds? E.Halfway though filling the cylinder, Bob’s hose breaks. Already tired from his day, he realizes that the only way to fill the tank now was with a simple bucket, which he uses it to fill the tank at the rate of 0.5 cubic meters per minute. How long will it take him to completely fill the tank now? Bart Martinon Justin Curtenius Block 2

2. Oklahoma Sewage Thieves A cylindrical tank of raw sewage that is 50 feet in length with a radius of 10 feet is being transported across the desert, when it is shot at by a group of degenerates. A bullet pierces the tank, leaving a one inch diameter hole and causing spluge to leak out at a rate of 0.01 inches cubed per millisecond. The driver maintains a steady speed of 22.3 miles per hour. After 4.8 miles the driver spots the group of degenerates and increases his speed to 45 miles per hour, causing the fluid to leak out at an increased rate of 0.02 inches cubed per millisecond. After 84 more miles, the hole is clogged and no more fluid escapes. Assuming the tank was full, how much raw sewage is left? Give your answer in percent form and round to 7 decimal places. Caelan Deater and David Garner 2nd block

3. 2 nd Block Question: There is one red storage cone and one blue storage cone. The red storage con has a height of 2 feet and a diameter of 3 inches. The radius and height of the blue storage cone is ⅓ of the radius and height of the red storage cone. Also, the red storage cone is above the blue storage cone, and there is an opening in the red storage cone. There is a bag of grain draining into the red storage cone at a rate of five cubic inches per second, and because of the opening in the red storage cone, grain drains out of the red cone and into the blue storage cone at a 40% slower rate than the grain flowing into the red cone. How long does it take to fill both cones in minutes? Also, once the bottom cone is full, the opening in the red storage cone is closed and no longer drains grain into the blue storage cone. 3 in 2 feet

4. Seth Haase, Rachel Williams Claire Freeland, Natalie Jackson 2 nd Block My Snowball has a diameter of 6 inches. I put it in the freezer and after 3 days its radius was 2.6 inches. a)What is the rate at which its volume decreases? b)What is the snowballs radius after 7 days? c)What is the snowballs circumference after 9 days? I put my snowball in a cube after 5 days where the snowball touched exactly all six faces of the cube. The edge length of the cube is 4.6. d) What is the snowball’s volume after 5 days? e) How much room is left in the cube with the snowball on the same day?

5. A ball is thrown from the top of a 72ft building at an initial velocity of 193ft/sec. A) At what time will the ball reach a height of 507ft? B)At what time will the ball reach its maximum height, and what is that height? C) During what time interval is the height of the ball decreasing? D) Given the following points from the graph, complete a two-point summary in order to find an equation for the path of the ball. (6, 653) (11, 257) Becca McDonald Megan Rininger 2 nd Block

6. Colin Brenner Nick Herbert 2 nd Block Spanky Smalls is standing next to a grain silo on his dads farm. This was his favorite spot throw pop flies to himself and catch them in his new baseball mitt. On his 8 th time throwing the ball, a big gust of wind blows the ball into the grain silo. Spanky is sad because it was his only baseball. However, the grain silo is leaking grain at a rate of 6 cubic inches per second. His dad is catching the leaking grain in a bucket at the bottom of the silo. Spanky thinks that at some point, his ball must fall out into the bucket. He knows that the silo is 54 feet tall and 8 feet across, and also that his arm was at a height of 6 feet each time he threw the ball. He also knows that his fastball travels 68.7 mph. From this information, he thinks he can figure out how many days it will be before he gets his ball back. But there is one problem: Spanky has only taken Algebra 1, and does not know how to do these types of problems yet. Do you want to help him? Spanky threw the ball into the silo on April 17 th, on what day will he get it back?

7. Morgan Schick, Courtney Senkewitz, Nicole Ambrosio – 2 nd block A cone is placed on top of a cylinder. The cone has a radius of 5 inches and a height of 6 inches. The cylinder has a diameter of 10 inches and a height of 10 inches. –A.) Find the total volume of the cone and cylinder. –B.) If water is poured into the cone and cylinder and it takes 7.85 minutes to fill, at what rate is the water being poured in cubic inches per second?

8. Sarah L, Brittany T, and Cammy M 2 nd block Find the equations of the lines tangent to the parabola y=6x 2 +12x-2 at x=-2 and x=8. Find the intersection point of these two lines. Then use the intersection point and (6,-14) to find an equation of a circle if these two points are endpoints of the diameter of the circle.