this one please 9 Abox is made from an 80 cm by 30 cm rectangle ofcardboard by cutting out 4 equal squares of sidex cm from each corner. The edges are turnedup to make an open box.80 cmShow that the volume of the box is given by theequation V = 4x'– 220x + 2400x.Find the value of x that gives the box its greatest volume.Find the maximum volume of the box.a10 The formula for the surface area of a cylinder is given by S= 2n(r+ h) where r is theradius of its base and h is its height.Show that if the cylinder holds a volume of 54r m’, the surface area is given by the%3D108Tequation S = 2r +r.b Hence find the radius that gives the minimum surface area.11 A silo in the shape of a cylinder is required to hold 8600 m' of wheat.Find an equation for the surface area of the silo in terms of the base radius.b Find the minimum surface area required to hold this amount of wheat, to thenearest square metre.30 cm

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9 Abox is made from an 80 cm by 30 cm rectangle of cardboard by cutting out 4 equal squares of side x cm from each corner. The edges are turned up to make an open box. Show that the volume of the box is given by the equation V = 4x' – 220x² + 2400x. b Find the value of x that gives the box its greatest volume. 80 cm %3D Find the maximum volume of the box. 30 cm

9 Abox is made from an 80 cm by 30 cm rectangle of cardboard by cutting out 4 equal squares of side x cm from each corner. The edges are turned up to make an open box. Show that the volume of the box is given by the equation V = 4x' – 220x² + 2400x. b Find the value of x that gives the box its greatest volume. 80 cm %3D Find the maximum volume of the box. 30 cm

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 16A: A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid...

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