(d) A 16cm diameter ring cake tin with curved sides is being designed. The cross section of The new cake tin design is shown in the diagram below. The cake tin is symmetrical about DH. D is the midpoint of BF. The curved surfaces AB and FG may be modelled by two parts of a parabola. The curved surface CHE may be modelled by a second parabola. AG = 16cm and H is the midpoint of AG A H G CE = V8cm = 2/2cm DH = 12 cm BF = 8 cm в сDE F Diagram NOT to scale
(d) A 16cm diameter ring cake tin with curved sides is being designed. The cross section of The new cake tin design is shown in the diagram below. The cake tin is symmetrical about DH. D is the midpoint of BF. The curved surfaces AB and FG may be modelled by two parts of a parabola. The curved surface CHE may be modelled by a second parabola. AG = 16cm and H is the midpoint of AG A H G CE = V8cm = 2/2cm DH = 12 cm BF = 8 cm в сDE F Diagram NOT to scale
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:(d)
A 16cm diameter ring cake tin with curved sides is being designed. The cross section of
The new cake tin design is shown in the diagram below.
The cake tin is symmetrical about DH.
D is the midpoint of BF.
The curved surfaces AB and FG may be modelled by two parts of a parabola.
The curved surface CHE may be modelled by a second parabola.
AG
= 16cm and H is the midpoint of AG
A
H
CE = V8cm = 2VZcm
DH 3D 12 ст
BF = 8 cm
в сDE F
Diagram
NOT
to scale
A mark P is put on the cake tin showing the maximum height that the mixture should
come to in the cake tin. PQ is the thickness of the cake at point P. The line PQ is 9 cm
above the base of the cake tin.
Find PQ, the thickness of the cake 9cm above the base of the cake tin.
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