Erin has a cylindrical candle mold with the dimensions told about... If Erin has a rectangular block of wax that measures 12 cm. by 14 cm. by 22 cm. about how many candles can she make after melting the block of wax?
Accepted Solution
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Answer:17 candles.Step-by-step explanation:Here is the complete question: Erin has a cylindrical candle mold with the dimensions shown in the picture attached. If Erin has a rectangular block of wax that measures 12 cm. by 14 cm. by 22 cm. about how many candles can she make after melting the block of wax?Given: radius of candles= 3.4 cm Height of candle= 6.0 cm Measurement of rectangular block= 12 cm. by 14 cm. by 22 cm.Now, calculating the volume of cylindrical candle and rectangular block.First, Volume of cylinder= [tex]\pi \times r^{2} \times h[/tex]⇒Volume of cylinder= [tex]\pi \times 3.4^{2} \times 6[/tex]∴ Volume of cylinder= 217.9 cmNext, Volume of rectangular block= [tex]length\times width\times height[/tex]⇒ Volume of rectangular block= [tex]12\times 14\times 22= 3696 cm[/tex]∴ Volume of rectangular block= 3696 cm. Now calculating the number of candles.Number of candles= [tex]\frac{Volume\ of\ rectangular\ block}{Volume\ of\ cylindrical\ candle}[/tex]⇒ Number of candles= [tex]\frac{3696}{217.9} = 16.96[/tex] ∴ Number of candles= 16.96 ≅ 17∴ 17 candles Erin can make after melting the block of wax.