Ch 12 Practice B Pt2 Ans

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*À>V̈ViÊ
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Ó°
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ΰ CM
Ê£{° IN
x°
M
CM
Ȱ
£È°
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Ê {°
£x°
M
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,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌܜÊ`iVˆ“>Ê«>Við
ˆ˜`Ê̅iÊۜÕ“iʜvÊ̅iÊ܏ˆ`°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌܜÊ`iVˆ“>Ê«>Við
Ê £°
*À>V̈ViÊÊ CONTINUED
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Ê CM
MM
£Ç°
--" ʣӰx
ˆ˜`Ê̅iÊÛ>ÕiʜvÊݰ
Ê Ç° 6 IN
n° 6 : CM
IN
CM
™° 6 M
M
IN
£n°
£™°
M
Ê£ä° -ULTIPLE #HOICE ! RIGHT CONE HAS A HEIGHT OF FEET AND A VOLUME OF : CUBIC FEET
7HAT IS ITS RADIUS #
Ê
° FT
° FT
Ê ° FT
° FT
ÊÓä° (EIGHT OF A 0YRAMID ! RIGHT PYRAMID WITH A SQUARE BASE HAS A VOLUME OF
CUBIC FEET 4HE HEIGHT IS SIX TIMES THE BASE EDGE LENGTH 7HAT IS THE HEIGHT
OF THE PYRAMID FT
˜ÊÝiÀVˆÃiÃÊÓ£qÓÎ]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
#ONCRETE 4O COMPLETE A CONSTRUCTION JOB A CONTRACTOR NEEDS CUBIC YARDS OF CONCRETE
4HE CONTRACTOR HAS A CONICAL PILE OF CONCRETE MIX THAT MEASURES FEET IN DIAMETER AND
FEET HIGH
ˆ˜`Ê̅iÊۜÕ“iʜvÊ̅iÊÀˆ}…ÌÊVœ˜i°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌܜÊ
`iVˆ“>Ê«>Við
CM
Ê££°
£Ó° M
£Î°
FT
ÊÓ£° (OW MANY CUBIC FEET OF CONCRETE ARE AVAILABLE TO THE CONTRACTOR
FT
YD
ÊÓÓ° (OW MANY CUBIC YARDS OF CONCRETE ARE AVAILABLE TO THE CONTRACTOR
ÊÓΰ $OES THE CONTRACTOR HAVE ENOUGH CONCRETE TO lNISH THE JOB
NO
'EOMETRY
#HAPTER 2ESOURCE "OOK
'EOMETRY
#HAPTER 2ESOURCE "OOK
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*À>V̈ViÊ
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`iVˆ“>Ê«>Við
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ˆ˜`Ê̅iÊÃÕÀv>ViÊ>Ài>Ê>˜`Ê̅iÊۜÕ“iʜvÊ̅iÊ܏ˆ`°Ê/…iÊVޏˆ˜`iÀÃÊ>˜`ÊVœ˜iÃÊ
>ÀiÊÀˆ}…̰Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌܜÊ`iVˆ“>Ê«>Við
M
IN ΰ
CM Ó°
Ê £°
*À>V̈ViÊÊ CONTINUED
ʣȰ
£n° FT £Ç°
FT
CM CM
IN IN
œ“«iÌiÊ̅iÊÌ>LiÊLiœÜ°ÊÊi>ÛiÊޜÕÀÊ>˜ÃÜiÀÃʈ˜ÊÌiÀ“ÃʜvÊ:°
Ê {° -ULTIPLE #HOICE 7HAT IS THE APPROXIMATE RADIUS OF A SPHERE WITH A SURFACE AREA OF
: SQUARE FEET "
Ê
° FT
° FTÊ
Ê ° FT
˜ÊÝiÀVˆÃiÃÊxqÇ]ÊÕÃiÊ̅iÊë…iÀiÊLiœÜ°Ê/…iÊVi˜ÌiÀʜvÊ̅iÊë…iÀiʈÃÊ
Ê>˜`Ê
ˆÌÃÊVˆÀVՓviÀi˜ViʈÃÊÇ:ÊVi˜Ìˆ“iÌiÀð
x° &IND THE RADIUS OF THE SPHERE ]zCM
Ȱ &IND THE DIAMETER OF THE SPHERE
Ê
° FT
CM
,>`ˆÕÃʜvÊë…iÀi
ˆÀVՓviÀi˜ViʜvÊ
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-ÕÀv>ViÊ>Ài>ʜvÊ
ë…iÀi
6œÕ“iʜvÊë…iÀi
£™°
MM
: MM
: MM
: MM
Óä°
IN
: IN
: IN
]z: IN
Ó£°
]zFT
: FT
: FT
]z: FT
ÓÓ°
M
: M
: M
: M
ǰ &IND THE SURFACE AREA OF ONE HEMISPHERE
2OUND YOUR ANSWER TO TWO DECIMAL PLACES
CM
ÊÓΰ &INDING A $IAMETER 4HE VOLUME OF A SPHERE IS : CUBIC CENTIMETERS 7HAT IS THE
Ê n° 'REAT #IRCLE 4HE CIRCUMFERENCE OF A GREAT CIRCLE OF A SPHERE IS : METERS 7HAT
ˆ˜`Ê̅iÊۜÕ“iʜvÊ̅iÊë…iÀi°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ̜ÊÌܜÊ`iVˆ“>Ê«>Við
FT £ä°
Ê ™°
M
YD ££°
--" Ê£Ó°È
DIAMETER OF THE SPHERE CM
M
--" Ê£Ó°È
IS THE SURFACE AREA OF THE SPHERE 2OUND YOUR ANSWER TO TWO DECIMAL PLACES
˜ÊÝiÀVˆÃiÃÊÓ{qÓÈ]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
'OLF "ALLS ! STANDARD GOLF BALL HAS A DIAMETER OF INCHES 'OLF BALLS
ARE OFTEN SOLD IN A BOX OF FOUR !SSUME THAT THE BALLS ARE PACKED TIGHTLY SO
THAT THEY TOUCH THE LATERAL SIDES AND THE BASES OF THE BOX
Ó{° 7HAT IS THE SURFACE AREA OF A GOLF BALL
Óx° 7HAT IS THE VOLUME OF A GOLF BALL
IN
ÓȰ 7HAT IS THE AMOUNT OF VOLUME INSIDE THE BOX THAT IS NOT TAKEN UP BY THE GOLF BALLS
ˆ˜`Ê̅iÊÀ>`ˆÕÃʜvÊ̅iÊë…iÀiÊ܈̅Ê̅iÊ}ˆÛi˜ÊۜÕ“iÊ6°Ê,œÕ˜`ÊޜÕÀÊ>˜ÃÜiÀÊ
̜ÊÌܜÊ`iVˆ“>Ê«>Við
Ê£Ó° 6 IN
£Î° 6 : CM
IN
CM
£{° 6 M
M
Ê£x° -ULTIPLE #HOICE 7HAT IS THE APPROXIMATE RADIUS OF A SPHERE WITH A VOLUME OF
: CUBIC CENTIMETERS "
° CM
° CMÊ
Ê ° CM
° CM
'EOMETRY
#HAPTER 2ESOURCE "OOK
&
'EOMETRY
#HAPTER 2ESOURCE "OOK
IN
IN
*À>V̈ViÊ
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SIMILAR Ê££°
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SIMILAR ,%33/.
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/iÊ܅i̅iÀÊ̅iÊ«>ˆÀʜvÊÀˆ}…ÌÊ܏ˆ`ÃʈÃÊȓˆ>À°ÊvÊÜ]Ê`iÌiÀ“ˆ˜iÊ̅iÊ
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ʣΰ NOT SIMILAR
Ê Î°
{°
SIMILAR Ê x° -ULTIPLE #HOICE 7HICH SET OF DIMENSIONS CORRESPONDS
TO A RIGHT CYLINDER THAT IS SIMILAR TO THE CYLINDER SHOWN $
°Ê R H Ê
° R H Ê£x°
° R H £È°
° R H ǰ 3CALE FACTOR OF -œˆ`ÊʭŜܘ®ÊˆÃÊȓˆ>ÀÊ̜Ê-œˆ`ÊÊ­˜œÌÊŜܘ®Ê܈̅Ê̅iÊ}ˆÛi˜ÊÃV>iÊ
v>V̜ÀʜvÊÊ̜ʰʈ˜`Ê̅iÊÃÕÀv>ViÊ>Ài>Ê>˜`ÊۜÕ“iʜvÊ-œˆ`ʰ
-œˆ`ÊʈÃÊȓˆ>ÀÊ̜Ê-œˆ`ʰʈ˜`Ê̅iÊÃÕÀv>ViÊ>Ài>Ê>˜`ÊۜÕ“iʜvÊ-œˆ`ʰ
Ê È° 3CALE FACTOR OF £{°
: MM : MM
ABOUT M ABOUT M
ʣǰ &INDING A 2ATIO 4WO CUBES HAVE VOLUMES OF CUBIC FEET AND CUBIC FEET
7HAT IS THE RATIO OF THE SURFACE AREA OF THE SMALLER CUBE TO THE SURFACE AREA OF
THE LARGER CUBE n° 3CALE FACTOR OF ˜ÊÝiÀVˆÃiÃÊ£nqÓÓ]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
--" Ê£Ó°Ç
: M : M
: FT : FT
ABOUT CM ABOUT CM
Ê ™° &INDING 3URFACE !REA 4WO SPHERES HAVE A SCALE FACTOR OF 4HE SMALLER SPHERE
HAS A SURFACE AREA OF : SQUARE FEET &IND THE SURFACE AREA OF THE LARGER SPHERE :
Ê£ä° -ULTIPLE #HOICE 4WO RIGHT CYLINDERS ARE SIMILAR 4HE SURFACE AREAS ARE : AND
: 7HAT IS THE RATIO OF THE VOLUMES OF THE CYLINDERS "
° ]z
° ]zÊ
Ê ° ]z
7ATER 4OWER !S PART OF A CLASS PROJECT YOU OBTAIN THE RESPONSIBILITY
OF MAKING A SCALE MODEL OF THE WATER TOWER IN YOUR TOWN 4HE WATER
TOWERS DIAMETER IS FEET AND THE HEIGHT IS FEET 9OU DECIDE THAT
INCH IN YOUR MODEL WILL CORRESPOND TO INCHES OF THE ACTUAL
WATER TOWER
£n° 7HAT IS THE SCALE FACTOR
'EOMETRY
#HAPTER 2ESOURCE "OOK
£™° 7HAT IS THE RADIUS AND HEIGHT OF THE MODEL
Óä° 7HAT IS THE SURFACE AREA OF THE MODEL
R IN H IN
: IN
: FT
ÓÓ° 5SE YOUR RESULT FROM %XERCISE TO lND THE VOLUME OF THE MODEL
Ó£° 7HAT IS THE VOLUME OF THE ACTUAL WATER TOWER
° ]z
: IN
'EOMETRY
#HAPTER 2ESOURCE "OOK
'