Question

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?

Answer 1

17 candles.

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=
`\pi * r^(2) * h`

⇒Volume of cylinder=
`\pi * 3.4^(2) * 6`

∴ Volume of cylinder= 217.9 cm

Next, Volume of rectangular block=
`length* width* height`

⇒ Volume of rectangular block=
`12* 14* 22= 3696 cm`

∴ Volume of rectangular block= 3696 cm.

Now calculating the number of candles.

Number of candles=
`(Volume\ of\ rectangular\ block)/(Volume\ of\ cylindrical\ candle)`

⇒ Number of candles=
`(3696)/(217.9) = 16.96`

∴ Number of candles= 16.96 ≅ 17

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