Erin has a cylindrical candle mold with the dimensions told 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?

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=

⇒Volume of cylinder=

∴ Volume of cylinder= 217.9 cm

Next, Volume of rectangular block=

⇒ Volume of rectangular block=

∴ Volume of rectangular block= 3696 cm.

Now calculating the number of candles.

Number of candles=

⇒ Number of candles=

∴ Number of candles= 16.96 ≅ 17

∴ 17 candles Erin can make after melting the block of wax.