A pillar candle is shaped like a cylinder with a radius of 1.5 inches. the candle holds 123 cubic inches of wax. how tall is the candle? use 3.14 for pi. round your answer to the nearest hundredth. 12.50 inches 15.76 inches 17.41 inches 18.76 inches

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PallaviB PallaviB · Answer 1 · 2022-08-23T15:26:37+02:00

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.

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