Volume & Surface Area of Cylinder

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Contributors

Lois Rollings

History

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Lois Rollings 8 years, 7 months ago

Published this.

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Lois Rollings 10 years, 7 months ago

Created this as a copy of Lois's copy of Volumes and surface areas.

Name	Status	Author	Last Modified
Volume & Surface Area of Cylinder	draft	Lois Rollings	06/09/2016 13:17
Volume & Surface Area of Cylinder (with formulae)	draft	Lois Rollings	04/10/2016 11:27
Volume & Surface Area of Cylinder (with formulae)	draft	Paul Howes	14/11/2016 00:01

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Question statement

Calculate the volume and surface area of this solid cylinder.

Give your answers correct to 2 decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	9
c	integer	7
b	integer	6
d	number	12
l	number	20.7292667502
hyp	number	10
r	number	5.45

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Name

Data type

Value

xxxxxxxxxx
 
random(b+1..10)

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Description

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

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Generated value: `integer`

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This variable doesn't seem to be used anywhere.

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2. Gap Gap 1. Number entry
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Ask the student a question, and give any hints about how they should answer this part.

A cylinder with diameter $\var{2c}$ cm and length $\var{a+5}$ cm.

Surface area: Gap 0. cm $^2$

Volume: Gap 1. cm $^3$

Advice

Recall that the formula for the volume, $V$ , of a cylinder is given by $V= \pi r^2h$ , where $r$ is the radius of the cicrular end and $h$ , the height (or length) of the cylinder.

The area of the curved surface of the cylinder is given by $2 \pi rh$ . (To see why this is, imagine unwrapping the surface.) The total surface area, $S$ , is found by adding on the area of the two circular ends and so is given by $S=2 \pi r h + 2 \pi r^2$ .

Note that the question gives you the diameter not the radius.

Give a worked solution to the whole question.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 10 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Volume & Surface Area of Cylinder

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 10 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`