1. Jeopardy Review Game Volume, Density and Surface Area of a Sphere

2. Everyone should have their own piece of paper to write down each question. Show all work on your paper, they will be collected at the end of class and counted as a participation grade for today. Participation:

3. If at any time you need to return to the game board click the “I <3 Math” picture Pictures on the slides following the answers will also return you to the game board Note to Teacher:

4. VolumeAreaDensityOh My! Grab Bag 10 20 30 40 50 Game Board

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6. Volume for 10pts What are the volume formulas for prisms/cylinders and pyramids/cones? 1:10

7. Prisms/Cylinders: V=BH Pyramids/Cones: V= BH B=Area of Base H=Height of Solid 1:10 ans Volume for 10ptsAnswer

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9. Volume for 20pts Find the volume 1:20 60 ft 20 ft 40 ft

10. V= (40)(20)(60) V= 48,000ft 3 1:20 ans Volume for 20ptsAnswer 60 ft 20 ft 40 ft

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12. Volume for 30pts Find the volume (in terms of pi) 1:30 24 in 18 in

13. V=BH(1/2) V=( π r2)(H)(1/2) 1:30 ans Volume for 30ptsAnswer 24 in 18 in r = 9in V= (9 2 π)24(1/2) V= (81π)12 V = 972 π in 3

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15. Volume for 40pts Find the volume of the regular octagonal pyramid. a = 9 cm s = 15cm 1:40 32 cm

16. V= BH 1:40 ans Volume for 40ptsAnswer 32 cm n = 8 a = 9 cm s = 15cm V

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18. Volume for 50pts Find the exact volume of the cone if the circumference of the base is 48 π in 1:50 12 in

19. 1:50 ans Volume for 50ptsAnswer 12 in

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21. Area for 10pts What are the Surface Area formulas for a Sphere and Hemisphere? 2:10

22. Area for 10ptsAnswer SA Sphere = 4 π r 2 SA Hemisphere = 2 π r 2 + π r 2 2:10 ans

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24. Area for 20pts What is the area of the base of this solid? 2:20 8 m 12 m 6 m 4 m

25. Area for 20pts Answer The base is a trapezoid 2:20 ans 8 m 12 m 6 m 4 m

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27. Area for 30pts Find the exact surface area of this sphere 2:30

28. Area for 30pts Answer SA Sphere = 4 π r 2 2:30 ans

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30. Area for 40pts An igloo (hemisphere) has an outside circumference of 12 π m. What is the exact surface area of the igloo’s outside? 2:40

31. Area for 40pts Answer 2:40 ans C=12πm r =6m

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33. Area for 50pts Find the exact surface area of the solid 2:50 3in 5in 7in

34. Area for 50pts Answer 2:50 ans 3in 5in 7in Outside Edge: r =5 Inside Edge: r =3 Top/Bottom:A= πr 2 Total:

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36. Density for 10pts What is the formula for density? 3:10

37. Density for 10pts Answer 3:10 ans D M V D = V M

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39. Density for 20pts If a rock has a mass of 18 grams and displaces 90cm 3 of water. What is its density? 3:20

40. Density for 20ptsAnswer 3:20 ans D = V M

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42. Density for 30pts A piece of metal weighs 351.4 grams and causes the water level in a cylindrical container (r = 3cm) to rise 1.1cm. What is the density of the piece of metal? (Round to the nearest tenth) 3:30

43. Density for 30pts Answer 3:30 ans

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45. Density for 40pts Find the density of the submerged object (round to the nearest hundredth) 3:40 4.3cm 5cm

46. Density for 40pts Answer 3:40 ans 4.3cm 5cm

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48. Density for 50pts A ball causes the water in the container to rise as indicated. Approximate the height of displaced water (to the nearest hundredth) 3:50 7cm 3cm x

49. Density for 50pts Answer 3:50 ans 7cm 3cm x Sphere: Displacement:

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51. Oh My! for 10pts Find the exact volume of the cone 4:10 12mm 5mm

52. Oh My! for 10pts Answer 4:10 ans 12mm 5mm

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54. Oh My! for 20pts Find the volume of this trapezoidal prism 4:20 6 m 10 m 4 m 3 m

55. Oh My! for 20pts Answer 4:20 ans 6 m 10 m 4 m 3 m

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57. Oh My! for 30pts The volume of a right triangular prism is 270ft 3. Find x 4:30 9 ft 10 ft x

58. Oh My! for 30pts Answer 4:30 ans 9 ft 10 ft x X = 6ft

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60. Oh My! for 40pts 4:40 The volume of a pyramid with an isosceles triangular base is 240cm 3. The height of the triangle is cm and the base is 6cm. What is the approximate height of the pyramid? (nearest hundredth)

61. Oh My! for 40pts Answer 4:40 ans ? 6 3√3 H ≈ 46.19cm

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63. Oh My! for 50pts Water world has a cylindrical water tower that is 150ft tall and has a diameter of 80ft. If they charge $0.50 per gallon, how much money could they make from selling all the water in this tank? Round to the nearest whole dollar. (1 cubic foot = 7.5 gallons) 4:50

64. Oh My! for 50pts Answer 4:50 ans 40 150

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66. Grab Bag for 10pts Describe how we use displacement in math. 5:10

67. Grab Bag for 10pts Answer It helps us find the volume of irregularly shaped objects. The volume of the displaced water is equal to the volume of the submerged object. 5:10 ans

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69. Grab Bag for 20pts If the foundation of a structure has a volume of 1350ft 3 how many cubic yards of concrete did it take to make the foundation? (3 feet = 1yard) 5:20

70. Grab Bag for 20pts Answer 5:20 ans 3ft 1yd = 1yd 3 27ft 3

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72. Grab Bag for 30pts If the surface area of a sphere is 196 π cm 2, find its volume to the nearest hundredth. 5:30

73. Grab Bag for 30pts Answer 5:30 ans

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75. Grab Bag for 40pts Find the approximate volume of the solid (nearest hundredth) 5:40 5in 7in 3in 2in

76. Grab Bag for 40pts Answer 5:40 ans 5in 7in 3in 2in About 121.76in 3

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78. Grab Bag for 50pts This toy part is made of plastic. The outer-hemisphere diameter is 5in and the inner-hemisphere diameter is 4in. Find the volume of the plastic. 5:50 4in 5in (Round to the nearest thousandth)

79. Grab Bag for 50pts Answer 5:50 ans 4in 5in Outer:Inner: Total: 15.97in 3

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