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    Answers To Chapter 12

    Uploaded by

    Mahan Zwix

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Answers To Chapter 12

    Uploaded by

    Mahan Zwix
    5 views2 pages

    Original Title

    Answers to Chapter 12

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    5 views2 pages

    Answers To Chapter 12

    Uploaded by

    Mahan Zwix

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    Answers

    Chapter 12: Circles, cylinders, Exercise 12.4 (page 215)


    1 8600 cm3
    cones and 2 62.8 cm2
    spheres 3
    4
    a) 3040 cm3
    509 cm3
    b) 553 cm2
    Starter 12 (page 204) 5 1810 cm2
    Calculator results for the approximations are:
    6 a) 2 120 000 cm3 b) 2120 litres
    3 1 1}8} 5 3.125 7 3563 cm3
    22
    }} 5 3.142 857 143
    7 8 14 cm
    10 5 3.162 277 66 9 a) 73.6 cm3 b) 73.6 , 75 so not possible.
    3 1 }68}0 1 }6300}2 5 3.141 666 667 10 a) Nick is right.
    333
    }} 5 3.141 509 434
    106
    b) Alan used 14 cm as radius, not diameter.
    1
     2143  4 Exercise 12.5 (page 217)
     22  5 3.141 592 653 is the closest 1 Circumference 5 24p cm, area 5 144p cm2
    88 2 Circumference 5 22p cm, area 5 121p cm2
    5 3.140 854 685 3 a) 192p cm2 b) 1152p cm3
    785
    4 a) 12 cm b) 144p cm2
    2 1 3 5 3.146 264 37 5 a) 11 cm b) 22p cm
    355
    }}
    113 5 3.141 592 92 6 3 cm
    4 7 30 cm
     4
     3  5 3.160 493 827 8 a) 64p cm2 b) 32 1 8p cm
    9 a) 18p cm2 b) 144 1 72p cm2
    p 5 3.141 592 654 10 a) p 3 6 3 8 5 48p and p 3 8 3 6 5 48p, so the same.
    b) p 3 32 3 8 5 72p and 2p 3 42 3 6 5 96p, so B
    Exercise 12.1 (page 207)
    has the larger volume.
    1 75.4 cm 2 69.1 cm
    3 1020 cm2 4 104 cm2
    5 133.5 cm 6 3447 cm2
    Exercise 12.6 (page 222)
    1 3050 cm3, 1020 cm2
    7 3.927 cm 8 0.6504 cm2
    2 172 cm3, 188 cm2
    9 95.0 cm2 10 2.27 mm2
    3 286 cm3, 267 cm2
    11 785 cm 12 6.66 m
    4 2304p cm3, 576p cm2
    13 210 mm 14 425 mm2
    5 144p cm3, 108p cm2
    15 a) 157 m b) 32 laps
    6 12p cm3, 24p cm2
    16 111 cm2
    7 (r 5 15) 4500p cm3
    17 a) 12.6 cm2 b) 64.9 cm2
    8 (r 5 4) 16p cm2
    18 a) 356 cm b) 1730 cm2 c) 1100 cm2
    19 a) 359.4 m b) 334.2 m c) 7.5% longer Review Exercise 12 (page 223)
    20 a) 113 mm2 b) 28 mm2 c) 85 mm2    1 2460 cm2 2 283 cm
    d) 25% 3 11.94 cm 4 3217 mm2
    Exercise 12.2 (page 211) 5 a) 8 cm      b) 16p cm
    1 15.4 cm 10.1 cm2 6 a) 942 cm2     b) 314 cm2
    2 31.0 cm 58.7 cm2 c) 1570 cm2
    3 30.7 cm 58.9 cm2 7 a) 2.5 cm      b) 19.6 cm2
    4 27.8 cm 46.3 cm2 8 72.7 cm 2
    9 81.7 m2
    5 95.7 mm 169 mm2 10 a) 28.3 cm     b) 23.1 cm
    2

    6 35.3 cm 66.0 cm2 11 88.4 cm2 12 201 cm


    7 12.4 cm 9.27 cm2 13 218 cm2 14 754 cm3
    8 44.3 cm 103 cm2 15 7.7 cm 16 58.8 cm
    9 a) 140 cm , 122 cm2, 52 cm2   
    2 17 18 1 9p cm
    b) 30.5 cm 18 a) 12.6 cm     b) 240 cm2
    10 a) 72° b) 22.6 in2 19 137 000 cm 3

    20 8.9 cm
    Exercise 12.3 (page 212) 21 18p 1 15p 5 33p
    1 2.47 cm 2 4.07 cm 22 15p
    3 6.18 cm 4 7.48 cm
    5 0.231 cm 6 32.9 cm Internet Challenge 12 (page 228)
    7 1.99 cm 8 8.46 cm 1 The Earth’s shadow on the Moon (during a lunar
    9 a) 3848.4 cm2    b) 35 cm eclipse) is round.
    c) 94.4 cm 2 The Flat Earth Society.
    10 4.77 m 3 Diameter 12 756 km (7926 miles), circumference
    40 074 km (24 900 miles)

    24
    Answers

    4 Diameter 12 714 km (7900 miles), circumference 7 Sir Ranulph Fiennes and Charlie Burton, from 1979
    39 942 km (24 818 miles) to 1982.
    5 A Great Circle is a circle on the surface of a sphere, 8 Round the world yacht races typically take over
    whose centre coincides with the centre of the sphere. 50 000 km (over 32 000 miles). They do not complete
    The equator is a Great Circle. a Great Circle, but they travel a greater equivalent
    6 Ferdinand Magellan, from August 1519 to September distance, and cross every line of longitude.
    1522, taking 3 years. (Magellan died during the 9 Greek geo 5 Earth, metron 5 measure
    voyage; the expedition was commanded by Juan 10 Check students’ answers.
    Sebastian del Cano thereafter.)

    25

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