The distance of the wick to the edge of a cylindrical candle is 314
cm, and the volume of wax used in the candle is approximately 289 cm³. Assuming the wick is located in the center of the candle, find the height of the candle to the nearest tenth.
To find the height of the candle, we first need to find the radius of the candle.
Given that the distance of the wick to the edge of the candle is 314 cm, we can divide this by 2 to find the radius:
Radius = 314 cm / 2 = 157 cm
Now, we can use the formula for the volume of a cylinder to find the height of the candle:
Volume = πr²h
289 cm³ = π(157 cm)²h
289 cm³ = π(24649 cm²)h
289 cm³ = 24649π cm²h
h = 289 cm³ / 24649π cm²
h ≈ 0.037 cm
Therefore, the height of the candle is approximately 0.4 cm.