For a cone with base radius r, height h and slant height /, the following formulae are given. Curved surface area, S = arl Volume, V = ar'h A container is to be designed in the shape of an inverted cone with no lid. The base radius and the volume is V'm³. The area of the material to be used for the cone is 4 m?. 6/12 (a) Show that V=aVī6r² -r". (b) In this question you must show detailed reasoning. It is given that V has a maximum value for a certain value of r. Find the maximum value of V, giving your answer correct to 3 significant figures.

For a cone with base radius r, height h and slant height /, the following formulae are given. Curved surface area, S = arl Volume, V = ar'h A container is to be designed in the shape of an inverted cone with no lid. The base radius and the volume is V'm³. The area of the material to be used for the cone is 4 m?. 6/12 (a) Show that V=aVī6r² -r". (b) In this question you must show detailed reasoning. It is given that V has a maximum value for a certain value of r. Find the maximum value of V, giving your answer correct to 3 significant figures.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 50A

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