Malik bought his mom a candle in the shape of a cylinder for her birthday present. The surface area of the candle is 82.97 square cm and the diameter is 3.5 cm. What is the height of the cylinder? Use 3.14 for PI and round to the nearest 10th.
First, we need to find the radius of the cylinder. The diameter is 3.5 cm, so the radius is half of that:
Radius = 3.5 cm / 2 = 1.75 cm
Next, we use the formula for the surface area of a cylinder:
Surface Area = 2πr(r + h)
Substitute in the values we know:
82.97 = 2 * 3.14 * 1.75(1.75 + h)
82.97 = 11 * (1.75 + h)
82.97 = 19.25 + 11h
11h = 63.72
h = 5.79 cm
Therefore, the height of the cylinder is approximately 5.8 cm.