Task 9: 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 1-1 2. Draw the graph of V against x for 2 SXS5 by first copying and completing the table. 2.5 3.5 4 4.5 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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Task 9:
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 Sx S5 by first
copying and completing the table.
2.5
3
3.5
4
4.5
5
V
18
48
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?
Task 10:
A.
В.
Find the perimeter and area of of the two
shapes (A&B), giving answers to 3 s.f. All
dimensions are in cm. All arcs are parts of
circles.
12
Task 11:
An archer shoots his arrows at a target. The probability that he scores a bullseye (a shot in the
middle of the target) in any one attempt is . If he shoots twice, calculate these probabilities:
1. P(two bullseyes)
2. P(no bullseyes)
3. P(at least one bullseye)
Transcribed Image Text:Task 9: 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 Sx S5 by first copying and completing the table. 2.5 3 3.5 4 4.5 5 V 18 48 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? Task 10: A. В. Find the perimeter and area of of the two shapes (A&B), giving answers to 3 s.f. All dimensions are in cm. All arcs are parts of circles. 12 Task 11: An archer shoots his arrows at a target. The probability that he scores a bullseye (a shot in the middle of the target) in any one attempt is . If he shoots twice, calculate these probabilities: 1. P(two bullseyes) 2. P(no bullseyes) 3. P(at least one bullseye)
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