Mathematics and Mathematical Literacy - Thutong
Mathematics and Mathematical Literacy - Thutong
Mathematics and Mathematical Literacy - Thutong
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<strong>Mathematics</strong>(NSC)/Grade 10/ P2 8 ExemplarQUESTION 4A c<strong>and</strong>le maker makes c<strong>and</strong>les with a radius, r <strong>and</strong> a height, h referred to as Type A.See the diagram below.rrType AhType AhThe c<strong>and</strong>le maker also makes two other types of c<strong>and</strong>le: Type B <strong>and</strong> Type C.4.1 Type B c<strong>and</strong>les have the same radius <strong>and</strong> double the height of the Type Ac<strong>and</strong>le.Express the volume of wax needed to make Type B c<strong>and</strong>les in terms of thevolume of wax needed to make Type A c<strong>and</strong>les. (2)4.2 Type C c<strong>and</strong>les have the same height <strong>and</strong> double the radius of the Type Ac<strong>and</strong>le.Express the volume of wax needed to make Type C c<strong>and</strong>les in terms of thevolume of wax needed to make Type A c<strong>and</strong>les. (2)4.3 What will be the impact on the height if he wants to make a c<strong>and</strong>le with the samevolume of wax as the Type A c<strong>and</strong>le, but wants it to have half the radius. (2)4.4 The c<strong>and</strong>les are transported by packing each c<strong>and</strong>le into a rectangular box.Shown in the diagram above.If the radius of a Type A c<strong>and</strong>le is 2 1 2cm <strong>and</strong> the height is 11cm, calculate thearea of cardboard needed to make up boxes for the Type A c<strong>and</strong>les. (3)[9]Copyright reserved
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