Mathematics Investigations And Teaching Assignment

Assignment Task 

Part A

• Series of steps that are quite directed and serve to introduce you to the mathematics required for.
• Calculate a lower estimate of the volume of the cone (previous page) based upon n= 8 discs (formula for volume of one disc is.
• Use technology (scientific calculator) to calculate a lower estimate of the volume of the cone for at least 3 greater numbers of discs e.g., n=20, n=40 and n=60.
• Calculate the possible dimensions of the vase. Show all working out. Explain any limitations or assumptions in your calculations and discuss the reasonableness of the result.

Part B

• Choose an object in your home that can be modelled using a solid of revolution. Use integral calculus to estimate the volume of the object.
• Explain how you developed and checked your estimation. Include mathematical working, written explanation, graphs, photographs, diagrams, or any other means that you deem appropriate to support your explanation. (you can use desmos).

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