GA6 - Volume of a semicylinder - Numbas at mathcentre.ac.uk

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

Lauren Desoysa	said	Ready to use	1 year, 1 month ago
Will Morgan	said	Needs to be tested	1 year, 1 month ago

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Will Morgan 1 year ago

Published this.

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Lauren Desoysa 1 year, 1 month ago

Gave some feedback: Ready to use

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Will Morgan 1 year, 1 month ago

Gave some feedback: Needs to be tested

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Will Morgan 1 year, 1 month ago

Created this as a copy of GA7 - Volume of a Trapezoidal Prism.

Name	Status	Author	Last Modified
GA7 - Volume of a Trapezoidal Prism	Ready to use	Will Morgan	09/04/2024 17:48
GA6 - Volume of a semicylinder	Ready to use	Will Morgan	09/04/2024 17:47

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Question statement

Calculate the volume of this (all lengths are in $cm$ ):

{geogebra_applet('https://www.geogebra.org/m/vdbvgwkf',[height: height,radius: radius])}

Give any introductory information the student needs.

			Name	Type	Generated Value

height	integer	20
radius	number	6.5
answer	number	1327.3228961417
semiarea	number	66.3661448071

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Generated value: `integer`

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answer

Statement
Advice

Parts

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1. Gap Volume Number entry
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Volume$cm^3$

Advice

In order to work out the volume of a prism you need to work out the cross sectional area first. In this question the cross section is a semi-circle. Find the area of a circle and then half it.

The area of a semi-circle is given by:

\begin{align} \frac{\pi\times r^2}{2} \end{align}

where $r$ is the radius of the circle.

\begin{align} \frac{\pi\times\var{radius}^2}{2} = \var{precround(semiarea,2)}... \quad cm^2 \end{align}

Then to calculate the volume you multiply the cross-sectional area by the length,

\begin{align} \frac{\pi\times r^2}{2} \times l \end{align}

\begin{align} \var{precround(semiarea,2)}... \times \var{height} = \var{precround(answer,2)}cm^3.\end{align}

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

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GA6 - Volume of a semicylinder

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Taxonomy: mathcentre

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Taxonomy: Context

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Will Morgan 1 year ago

Lauren Desoysa 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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GA6 - Volume of a semicylinder

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

Will Morgan 1 year, 1 month ago

Will Morgan 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`