Answered: This water tank has dimensions as…

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

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 42E: For Exercise 41 to 44, 1 ft3 of liquid corresponds to 7.5 gallons of the liquid. The gasoline tank...

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Question

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.
2.5
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.

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