For a cone with base radius r, height h and slant height I, the following formulae are given.Curved surface area, S = arlVolume, V = arhA container is to be designed in the shape of an inverted cone with no lid. The base radius is rmand the volume is Vm?.The area of the material to be used for the cone is 4z m².(a) Show that V=a/16r-r.(b) In this question you must show detailed reasoning.It is given that Vhas a maximum value for a certain value of r.Find the maximum value of V, giving your answer correct to 3 significant figures.

The objectives are: (a) To show that volume of container is V=13π16r2-r6 (b) It is given that V has…

For a cone with base radius 7, height h and slant height /, the following formulae are given. Curved surface area, S = arl Volume, V = Far'h A container is to be designed in the shape of an inverted cone with no lid. The base radius is rm and the volume is Vm². The area of the material to be used for the cone is 47 m². (a) Show that V=av16r² -*. (b) In this question you must show detailed reasoning. It is given that Vhas 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 7, height h and slant height /, the following formulae are given. Curved surface area, S = arl Volume, V = Far'h A container is to be designed in the shape of an inverted cone with no lid. The base radius is rm and the volume is Vm². The area of the material to be used for the cone is 47 m². (a) Show that V=av16r² -*. (b) In this question you must show detailed reasoning. It is given that Vhas a maximum value for a certain value of r. Find the maximum value of V, giving your answer correct to 3 significant figures.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 43E

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