A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball?

# A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball?

## A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball?

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1. A spherical ball has a diameter of 30 cm. What is the closest to the volume of the ball? • 942 cm3 • 7952 cm3 • 14137 cm3 • 113097 cm3

2. Which is closest to the volume of the world’s largest candy corn in cubic feet: • 680.7 ft3 • 274.9 ft3 • 170.2 ft3 • 70 ft3

3. Find the volume of the following triangular prism: • 216 cm3 • 108 cm3 • 90 cm3 • 135 cm3

4. 5 in 2in The net of a cylinder is shown below. Find the total surface area of the cylinder. 2in 2in 2in A.10 in2 B. 94.2 in2 C. 219.9 in2 D. 157 in2

5. r = 7 in 24.3 in Find the lateral surface area of the cylinder: • 1068.8 in2 • 3740.7 in2 • 24.3 in2 • 153.9 in2

6. 3 9 Which statement best describes how the volume of a cube changes when the edge length is tripled (increased by a scale factor of 3) to form a new cube? (Example shown below) • The volume of the new cube is 1/3 the volume of the original cube • The volume of the new cube is 1/9 the volume of the original cube • The volume of the new cube is 27 times the volume of the original cube • The volume of the new cube is 3 times the volume of the original cube

7. Ricky has a circular garden with a diameter of 10. If he multiplies the diameter by a scale factor of ½ , how does the area of the new garden compare to the area of the original garden? • The area for the new garden is ½ the area of the original. • The area of the new garden is ¼ the area of the original. • The area of the new garden is twice the original. • The area of the new garden is four times the original.

8. If the dimensions of a rectangle with an area of 18 cm2 are tripled, what will be the area of the new rectangle? • The area of the new rectangle will be 36 cm2. • The area of the new rectangle will be 48 cm2. • The area of the new rectangle will be 72 cm2. • The area of the new rectangle will be 162 cm2.

9. A rectangular prism has a volume of 16 cubic cm. If the length, width, and height are all changed to ½ their original size, how does the volume of the new prism compare to the volume of the original prism? • The volume of the new prism is twice the volume of the original prism. • The volume of the new prism is ½ the volume of the original prism. • The volume of the new prism is ¼ the volume of the original prism. • The volume of the new prism is 1/8 the volume of the original prism.

10. A cylinder has a volume of 3 cm3. If you multiply double the height and double the radius, what is the new volume? • 6 cm3 • 12 cm3 • 24 cm3 • 9 cm3

11. If a triangle is formed with the given side lengths, which would be a right triangle? • 5 in, 6 in, and 7 in • 9 in, 12 in, and 15 in • 25 in, 30 in, and 25 in • 12 in, 18 in, and 30 in

12. The three squares below form a right triangle. What is the area of the shaded square? 3 cm • 5 cm2 • 9 cm2 • 25 cm2 • 16 cm2 3 cm 4 cm 4 cm

13. The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand attached? • 17 ft • 88 ft • 108 ft • 244 ft 189 ft 155 ft x ft

14. Classify the triangle by its angle measures and side lengths. • Right Isosceles • Right Scalene • Acute Isosceles • Acute Scalene 50 in 40 in 30 in

15. Classify the triangle by its angle measures and side lengths. 110o • Right Isosceles • Right Scalene • Obtuse Isosceles • Acute Isosceles

16. A triangular shaped patio has sides of 30 ft., 24 ft. and 20 ft. There is a rocking chair in the corner that has the smallest angle. Which corner has the rocking chair? • The corner opposite the side that is 30 ft. • The corner opposite the side that is 24 ft. • The corner opposite the side that is 20 ft. • The chair is in the middle of the patio.

17. Which of the following side lengths would make a triangle with the two given sides? 12 in. 7 in. • 3 in. • 4 in. • 5 in. • 6 in.

18. Find the measure of the missing angles. 70o • a = 70o b = 110o • a = 70o b = 20o • a = 60o b = 30o • a = 60o b = 120o ao 50o bo

19. Find the side lengths of the triangle below. 2x + 4 4x - 2 • 10, 20 and 20 • 15, 15 and 20 • 10, 15 and 15 • 10, 10 and 24 40o 40o 4x + 12

20. Find the missing angle measurement and justify your answer using the tool box. Angle Justification (Use the tool box) = _____

21. Find the missing angle measurement and justify your answer using the tool box. Find x Justification (Use the tool box) x = _____

22. Use the diagram of a staircase railing to answer the following: S Q R 45º 135º Which is a true statement about the measure of angle QRS? A)It equals 45º by the Same Side Interior Angles Theorem B)It equals 135º by the Alternate Interior Angles Theorem C)It equals 45º by the Corresponding Angles Postulate D) It equals 135º by the Alternate Exterior Angle Theorem

23. Find the value of x and measure of angle DEF. x = _______________ = _______________

24. Prove the Alternate Interior Angles Theorem is true by proving that Statement / Conclusion Justification (use the tool box) Given:

25. Find AB • 19.82 • B. 12.87 • C. 7.03 • D. 7.67

26. Stephen is flying a kite with an angle of inclination of 33º. How much string must he let out if he wants the kite to be above a birdbath that is exactly 380 ft from where he is standing? • 760 ft • B. 658 ft • C. 453 ft • D. 318 ft

27. Mario is the pilot of a plane that takes off and flies at an angle of inclination of 0.5º from Austin to El Paso. The distance on a map (ground) between Austin and Hawaii is 300 miles. Once he reaches El Paso his passenger sky dives from the plane. Find how far the passenger falls. • 2.6 miles • B. 1.5 miles • C. 0.8 miles • D. 2.0 miles

28. A wheelchair ramp makes an 8º angle with the ground. The length of the ramp is 20 feet, find out how high the ramp raises. • 4.6 ft • B. 19 ft • C. 2.78 ft • D. 3.5 ft

29. Find BC • 8 • B. 40 • C. 9.5 • D. 5.5

30. Mary buys 3 oranges and 4 apples for \$2.76. Todd buys 1 orange and 5 apples for \$2.24. What is the cost of 1 apple? What is the cost of 1 orange?

31. Solve the following system of linear equations.

32. Barry and Ted collect vinyl records. Barry has three and a half times as many vinyl records as Ted. Together they have 1400 records. Which system of linear equations can be used to determine b, the number of vinyl records Barry owns, and t, the number of vinyl records Ted owns? A. B. C. D.

33. Find the solution to the linear system:

34. Verizon charges \$30 a month plus \$0.10 per text. Sprint charges \$35 plus \$0.07 per text. How many texts would it take for a bill from both companies to be the same? How much would the bill be?

35. Which describes the parent function of the graph shown below? A) Quadratic B) Absolute Value C) Cubic D) Linear

36. Which points best represent the solutions of the graphed quadratic equation shown below? A) (0, -3), (2, -1) B) No Solution C) (0, -1) D) (0, 0)

37. This is the graph of If the graph of the original function is translated 5 units down, which of the following equations best represents the translation of each point on the curve? A) C) B) B)

38. Which statement describes what happens to the graph of when the value of a is changed from 10 to 3? • The graph narrows • The graph widens • The graph translates 7 units down • The graph translates 7 units to the right

39. What are the roots of the quadratic equation: • 6 and -2 • -6 and 2 • -2 and -16 • -6 and -2

40. The circle graph shows the types of grass planted in the yards of one neighborhood. Find measure of arc FGK.

41. Find the area of the shaded sector.

42. A windshield wiper blade is 15 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 112°?

43. Find the volume of the shaded sector of the cylinder with a height of 10m and a base shown below: 10m

44. Find the length of arc GF

45. A. B. C. D. 1. The line below is translated three units down. What is the equation of the new line?

46. 2. Write the equation of the linear function represented below by the table. Write the equation in slope intercept form: y = mx +b A. B. C. D.

47. 4. Which of the following equations has a slope of –2 and passes through the point (1,3)? A. B. C. D.

48. Which inequality best describes the graph shown below? F) G) H) J)