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  1. Calculate the surface area of a sphere with diameter 6.4 cm, to the nearest tenth of a centimetre.



  2. The Great Pyramid of Giza has square base length of 230.4 m and a slant height of 186.4 m. Calculate the surface area of the portion of the pyramid that is exposed to sunlight. Round your answer to the nearest tenth.

    The base of the pyramid is not exposed to sunlight. As such, only calculate the area of
    the four triangular faces.




    The portion of the Giza Pyramid exposed to sunlight has a surface area of 85 893.12 m2.


  3. Determine the combined surface area of all 4 AAA rechargeable batteries, to the nearest tenth of a millimetre.



    4 cm = 40 mm

    The following is one solution method for solving surface area.

    The base of the small cylinder located at the top of each battery lies on top of the large cylinder. As such, the surface area of the battery can be calculated in three parts:


    1. The surface area of the large cylinder, less the surface area of its circular top:



    2. The surface area of the small cylinder, less the surface area of its circular base:



    3. The area of the top of the large cylinder, less the area of the base of the small cylinder (doughnut shape):




    Large cylinder's surface area

    Small cylinder's surface area

    The difference between the circles' areas

    Surface area of the battery