Q4 Calculating volume of different containers

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TEAME CIT

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8 years, 9 months ago

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Name	Status	Author	Last Modified
Q4 Calculating volume of different containers	Ready to use	TEAME CIT	06/10/2016 16:12
Q6 Volume problems	Ready to use	TEAME CIT	06/10/2016 16:12
Simon's copy of Q4 Calculating volume of different containers	draft	Simon Thomas	21/02/2019 10:46
Simon's copy of Q6 Volume problems	draft	Simon Thomas	21/02/2019 10:52
Kwame's copy of Q6 Volume problems	draft	Kwame D Dwamena	15/06/2019 14:48
Kwame's copy of Q4 Calculating volume of different containers	draft	Kwame D Dwamena	15/06/2019 14:53

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Question statement

Solve the following volume questions to 2 decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

size1	list	[ 90, 80, 70, 100 ]
size2	list	[ 160, 130, 150, 140, 110 ]
ans1	number	1017876.019763093
ans2	number	217817.0906488923
ans3	number	179594.3800302165

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(70..100#10)[0..5]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `list`

[ 90, 80, 70, 100 ]

This variable doesn't seem to be used anywhere.

Parts

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1. Gap Number entry
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Part b) Gap-fill
1. Gap Number entry
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Part c) Gap-fill
1. Gap Number entry
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Ask the student a question, and give any hints about how they should answer this part.

Find the volume of a cylindrical container of height $\var{size2[0]}cm$ and diameter $\var{size1[0]}cm$ .

Unnamed gap $cm^3$

Advice

Part1

Volume of cylindrical container

V = $\pi r^2h$

$\pi \times (\frac{\var{size1[0]}}{2})^2 \times \var{size2[0]} = \var{ans1}$

Part2

Volume of conical container

V = $\frac{1}{3}\pi r^2h$

$\frac{1}{3} \times\pi \times (\frac{\var{size1[1]}}{2})^2 \times \var{size2[1]} = \var{ans2}$

Part3

Volume of spherical container

V = $\frac{4}{3}\pi r^3$

$\frac{4}{3} \times\pi \times (\frac{\var{size1[2]}}{2})^3 = \var{ans3}$

Give a worked solution to the whole question.

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This question is used in the following exams:

Math6000 (WS8) Mensuration by TEAME CIT in MATH6000 Essential Mathematical Skills.
Math6000 (WS5-8) by Julie Crowley in MATH6000 Essential Mathematical Skills.
Mensuration by Deirdre Casey in Deirdre's workspace.
Area and Volume by Katie Bullen in Katie's workspace.

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Q4 Calculating volume of different containers

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

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Generated value: `list`

Parts

Gap-fill

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Q4 Calculating volume of different containers

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`