This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is given by the formula V = x3 – x2 x - 1 2. Draw the graph of V against x for 2

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter52: Types Of Angles And Angular Geometric Principles
Section: Chapter Questions
Problem 18A: Given: FHGSKM and FGHK . Determine the value of 1, 2 and 3 for these values of 4.
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This water tank has dimensions as shown, in metres.
1. Show that the volume of the tank, V m3, is given by
the formula V = x3 – x2
x - 1
2. Draw the graph of V against x for 2 <x< 5 by first
copying and completing the table.
2
2.5
3
3.5
4
4.5
V
4
18
48
100
3. Use your graph to estimate the volume of a tank for which the base area is 16 m2.
4. What are the dimensions of a tank of volume 75 m3?
Transcribed Image Text:This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is given by the formula V = x3 – x2 x - 1 2. Draw the graph of V against x for 2 <x< 5 by first copying and completing the table. 2 2.5 3 3.5 4 4.5 V 4 18 48 100 3. Use your graph to estimate the volume of a tank for which the base area is 16 m2. 4. What are the dimensions of a tank of volume 75 m3?
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