Alexandra Syere 1 1 1 800 km the problem Fig. 2:2). After calculating the difference in the positions of the two cities

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Alexandra Syere 1 1 1 800 Km The Problem Fig 2 2 After Calculating The Difference In The Positions Of The Two Cities 1 (58.99 KiB) Viewed 55 times

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Alexandra Syere 1 1 1 800 km the problem Fig. 2:2). After calculating the difference in the positions of the two cities to be approximately 7 out of a 360" sphere, he concluded that the earth's circumference was 40,000 km remarkably accurate when compared to today's calculations, Eratosthenes had a problem to solve, so he like all good scien- tists and problem solvers, followed several steps that included analyzing the problem, collecting data, selecting appropriate equations, and making the calculations. SKETCH 12 cm INASI PROBLEMS 2.3 Use the problem-solving method to work each problem. (Here, as throughout the text, follow the rules for calculations with measurements.) 1. Find the volume of the box in Fig. 2.3. 2. Find the volume of a cylinder whose height is 7.50 in and diameter is 4.20 in. (Fig. 2.4). 3. Find the volume of a cone whose height is 9.30 cm if the radius of the base is 5.40 cm (Fig. 2.5). Figure 2.3 Figure 2.4 Figure 2.5 DATA 112 cm./4.0 cm, - BASIC EQUATION WORKING EQUATION 4.20 in diameter N SUBSTITUTION 12 cm = 3.0cm 4.0 cm 240 cm 9.30 cm 36.0 cm 30,0 cm 5.40 cm radius The cylinder in an engine of a road grader as shown in Fig. 2.6 is 11.40 cm in diameter and 24.00 cm high. Use Fig. 2.6 for Problems 4 through 6. 4. Find the volume of the cylinder. 5. Find the cross-sectional area of the cylinder. 6. Find the lateral surface area of the cylinder. 7. Find the total volume of the building shown in Fig. 2.7. 8. Find the cross-sectional area of the concrete retaining wall shown in Fig. 2.8. 9. Find the volume of a rectangular storage facility 9.00 ft by 12.0 ft by 8.00 ft.

Figure 2.6 CHAPTER Figure 2.0 Fire 18 3.2011 24.00 cm 100 3706 19.3 - 11.40 cm diameter diameter 3.20 cm 10. Find the cross-sectional area of a piston head with a diameter of 3:25 cm. 11. Find the area of a right triangle that has less of 4,00 can and 6.00 cm 12. Find the length of the hypotenuse of the right triangle as Problema l 13 Find the cross-sectional area of a pipe with outer diameter 3.50 cm and inner 14. Find the volume of a spherical water tank with radius 800m. 15. The area of a rectangular parking lot is 900 m. If the length is 25.0 m, what is 16. The volume of a rectangular crate is 192.1 the length is 8.00 h and the width is 4.00ft, what is the height 17. Find the volume of a brake cylinder whose diameter is 4.60 cm and whose length 18. Find the volume of a tractor engine cylinder whose radius is 3.90 cm and whose the width is 4:20 cm length is 8.00 cm 19. A cylindrical silo has a circumference of 295 m. Find its diameter 20. If the silo in Problem 19 has a capacity of 1000m, what is its height? 21. A wheel 30.0 cm in diameter moving along level ground made 145 complete rotations. How many metres did the wheel travel? 22 The side of the silo in Problems 19 and 20 neods to be painted. each litre of paint covers 5.0m', how many litres of paint will be needed (Round up to the nearest litre.) 23. You are asked to design a cylindrical water tank that holds 500.000 pal with radius 18.0 ft. Find its height ( 1-7.50 gal). 24. If the height of the water tank in Problem 23 were 4208, what would be its radius 25. A ceiling is 12.0 ft by 15.00. How many suspension paneis 1.00 ft by 3.00ft are needed to cover the ceiling? 26. Find the cross-sectional area of the dovetail slide shown in Fig. 29 Figure 2.9 1 90 om 0.400 cm 0400 cm 2.00 cm 200 cm 3.50 m 220 cm Cross section 500 m 350 cm

PROBLEM SOLVING igure 2.10 1.50 m 2.75 m 27. Find the volume of the storage bin shown in Fig. 2.10. The maximum cross-sectional area of a spherical propane storage tank is 3.95 28. 29. How many cubic yards of concrete are needed to pour a patio 12.011 X 2037 Will it fit into a 2.00-m-wide trailer? What length of sidewalk 4.00 in, thick and 4.00 ft wide could be poured win and 6.00 in, thick? 30 2.00 yd' of concrete? Find the volume of each figure. 31. 32. 2.00 m 8.00 in 8.00 in. 5.00 in. 60.0 CM 6.00 in Inside diameter: 20.0 cm Outside diameter: 50.0 cm