Answers

1. The length of the cylindrical shaped candle will be 17.41 inches.

   We have,

   A pillar candle shaped like a cylinder carrying wax.

   And,

   Radius of cylindrical candle = 1.5 inches

   And,

   Volume of the cylindrical candle =  123 cubic inches,

   And,

   Let length of the cylindrical candle = h

   So,

   Now,

   According to the question,

   The Volume of the cylindrical candle = πr²h

   Now,

   Putting values,

   i.e.

   123 = 3.14 × (1.5)² × h

   i.e.

   123 = 3.14 × 2.25 × h

   And,

   On solving we get,

   h = 123/(3.14 × 2.25)

   i.e.

   h = 123/7.065

   i.e.

   h = 17.41 inches

   So,

   The length of cylindrical candle = 17.41 inches.

   Hence we can say that the length of the cylindrical shaped candle will be 17.41 inches.

   Learn more about cylinder here

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