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a partly filled lemonade bottle of diameter 8 cm contains lemonade to a depth of 14 cm this lemonade is poured into ice cube molds each of which is a cube of side 3cm how many of these ice cube molds can be completely filled.

 Aug 13, 2015

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 #1
avatar+118723 
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a partly filled lemonade bottle of diameter 8 cm contains lemonade to a depth of 14 cm this lemonade is poured into ice cube molds each of which is a cube of side 3cm how many of these ice cube molds can be completely filled.

 

Volume of drink = pi*r^2*h

$${\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{4}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{14}} = {\mathtt{703.716\: \!754\: \!404\: \!113\: \!685\: \!4}}$$       cm^3

 

Volume of mould = 3*3*3= 27 cm^3

 

number =    $${\frac{{\mathtt{703.716\: \!75}}}{{\mathtt{27}}}} = {\mathtt{26.063\: \!583\: \!333\: \!333\: \!333\: \!3}}$$

 

So that is 26 whole cubes with just a little bit left over :)

 Aug 13, 2015
 #1
avatar+118723 
+10
Best Answer

a partly filled lemonade bottle of diameter 8 cm contains lemonade to a depth of 14 cm this lemonade is poured into ice cube molds each of which is a cube of side 3cm how many of these ice cube molds can be completely filled.

 

Volume of drink = pi*r^2*h

$${\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{4}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{14}} = {\mathtt{703.716\: \!754\: \!404\: \!113\: \!685\: \!4}}$$       cm^3

 

Volume of mould = 3*3*3= 27 cm^3

 

number =    $${\frac{{\mathtt{703.716\: \!75}}}{{\mathtt{27}}}} = {\mathtt{26.063\: \!583\: \!333\: \!333\: \!333\: \!3}}$$

 

So that is 26 whole cubes with just a little bit left over :)

Melody Aug 13, 2015

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