GA5 Volume of cylinder

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Skills Audits for Maths and Stats :

Lauren Desoysa	said	Ready to use	1 year, 1 month ago
Megan Oliver	said	Needs to be tested	1 year, 1 month ago

History

○

Will Morgan 1 year ago

Published this.

○

Lauren Desoysa 1 year, 1 month ago

Gave some feedback: Ready to use

○

Megan Oliver 1 year, 1 month ago

Gave some feedback: Needs to be tested

○

Megan Oliver 1 year, 1 month ago

Created this as a copy of Mathematical formulae - Volume.

Name	Status	Author	Last Modified
Mathematical formulae - Volume	Ready to use	Aiden McCall	19/12/2022 12:22
Johan's copy of Mathematical formulae - Volume berekeningen	draft	Johan Maertens	21/08/2017 20:29
Johan's copy of Mathematical formulae - Volume	draft	Johan Maertens	21/08/2017 20:29
Kwame's copy of Mathematical formulae - Volume	draft	Kwame D Dwamena	15/06/2019 14:51
GA4 Volume of a triangular prism	Ready to use	Megan Oliver	09/04/2024 17:45
GA5 Volume of cylinder	Ready to use	Megan Oliver	09/04/2024 17:46

There are 5 other versions that do you not have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

w4	number	5.7
d4	integer	3
h4	integer	2

			Name	Type	Generated Value

w6	integer	6
h6	integer	5
d6	number	11.3

			Name	Type	Generated Value

			r7	integer	6
			w7	number	8.6

			Name	Type	Generated Value

h8	integer	6
w8	integer	5
d8	number	3.2

			Name	Type	Generated Value

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5.5..8#0.1)

JME function reference

Description

Width of cuboid.

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

Can an exam override the value of this variable?

Generated value: `number`

5.7

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
  Add
1. Step Information only

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Calculate the $\mathrm{Volume}$ of the following cylinder.

$\mathrm{Volume} =$ Unnamed gap $\mathrm{m}^3$ . Round your answer to 1 decimal place.

Advice

For a cylinder, we first need to find the area of the circular face then multiply this area by the depth of the cylinder.
In this example the radius of the circular face is $\mathrm{radius} = \var{r7}m$ which can be used to calculate the area of the circular face.

$\begin{align} \mathrm{Area\thinspace_\bigcirc} &= \pi \times \mathrm{radius}^2 \\ &= \pi \times \var{r7}^2 \\ &= \var{pi * (r7)^2}\, \mathrm{m}^2 \,. \end{align}$

Now that we have the area of the circular face ( $\mathrm{Area\thinspace_\bigcirc}$ ) we can multiply this by the $\mathrm{depth} =\var{w7}m\thinspace$ .

$\begin{align} \mathrm{Volume} &= \mathrm{Area\thinspace_\bigcirc} \times \mathrm{depth} \\ &= \var{pi*(r7)^2} \times \var{w7} \\ &= \var{dpformat(pi*w7*(r7)^2, 5)} \\ &= \var{dpformat(pi*w7*(r7)^2, 1)}\, \mathrm{m}^2\,. \quad \text{1 d.p.} \end{align}$

Use this link to find resources to help you revise how to calculate the volume of a cylinder.

Give a worked solution to the whole question.

URL

Text alternative
URL

Text alternative
URL

Text alternative
URL

Text alternative

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only

This question is used in the following exams:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

Loading...

Error

GA5 Volume of cylinder

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Megan Oliver 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`