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  3. 3 run of mine ore is blended using a stockpile wit

3 Run of mine ore is blended using a stockpile with a conical shape see...

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Geometry

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3 Run of mine ore is blended using a stockpile with a conical shape see image below The stockpile has a slope angle of 39 degrees and a height equal to 20 24 m The volume of the stockpile is known to be 13 250 m 39 For calculations relating to this shape recall that the volume V of a cone follows from V R H 20 44 where V is the volume R is the radius of the base H is the height The surface area S of a cone is given by S R RL where S is the surface area R is the radius of the base L is the slant height which is measured along the sloping side a Determine the radius R of the stockpile in m to 2 decimal places b Determine the slant height L in m to 1 decimal place R c Determine the surface area S in m to 0 decimal places To increase the size of the stockpile is adjusted as follows slant height L is increased to 35 m and 0 surface area S increases to 5000 m at the same time while height H remains as before d Determine the new radius R in m to 2 decimal places e Determine the new slope angle in degrees to 1 decimal place Determine the new volume V in m to 0 decimal places 2 marks 2 marks 2 marks 3 marks 2 marks 1 mark

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