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 cm
Next, 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.
