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Sharan Muduthanapally 10IB T2 Math PSMT Introduction: The local council wishes to install three cylindrical seats in the park for aesthetic purposes. These benches follow regulations from the council. The council wants to determine the best dimensions for the seats. The report will explore the dimensions for these chairs and evaluate their accuracy in following the regulations. Assumptions and Observations: To complete this build, assumptions must be made. According to dimensions.com, it is observed that the height of a bench is around 46-55 cm to ensure that it is easy to reach and be sat on. Also, it is observed that the surface area affects the paint cost (corrosionalliance.com), meaning that it is assumed that surface area must be kept low to keep paint cost low. It is also observed that the base of the bench will not be painted as it is cemented to the floor, so it is assumed that the base of the cylinder will not be included in the calculation of surface area. These assumptions and observations were made to simplify the problem. To calculate the volume, surface area and area we must use the formulas as such: Volume= r2h as the volume is present and can be rearranged to find radius (flexbooks.ck12.org) Surface area=2r(r+h) make sure surface area is kept low. Area= r2 You need to make sure that the three cylinders fit within the given area.

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