Acandle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. he melts it into a cone-shaped candle that is 5 centimeter wide at the base and 25 centimeter tall. does the candle use all the paraffin from the original block? justify your reasoning

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is  

=

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

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