A Local Farm Owner Has Just Acquired A
A Local Farm Owner Has Just Acquired A
A local farm owner has just acquired another smaller farm with three silos for cattle feed. The shapes of the silos are right circular cylinders. Suppose one silo is 40 ft tall with a twelve foot diameter; another silo is 50 ft tall with a 14 ft diameter; and the third silo is 60 ft tall with an 18 ft diameter. a. What is the combined capacity in cubic feet of all three silos? b. If 1 quart of paint covers 100 sq feet, how many quarts of paint will the farmer need to paint the three silos and restore an appearance of newness? 2. A water canal has a rectangular cross section 4 meters wide and 3 meters deep. How much water is contained in a 20-meter length of the canal? How much water will be held after 40% has evaporated? ( 280 yards yards ) 3. Find the area of the shaded region. Substitute 3.14 in for π and round your answer to the nearest hundredth. 4. Can a spherical tank with a 50 ft diameter hold enough water to fill a swimming pool that has a 50 m length, a 25 m width, and a constant 2 m depth? Explain your answer and provide work and calculations to support your response. 5. Suppose you situate a small mirror between yourself and the wall so that when you look into the mirror you see the top of the wall. If you’re 4 ft from the mirror; the mirror is 15 ft from the wall; and your eyes are 6 ft from the floor, determine the height of the wall (H).