Malik bought his mom a candle in the shape of a cylinder for a birthday present.the surface area of the candle is 82.97 square centimeters and the diameter is 3.5 centimeters and round to the nearest tenth
To find the surface area of a cylinder, you can use the formula:
Surface Area = 2πr² + 2πrh
Given that the diameter of the candle is 3.5 cm, the radius (r) would be half of this, so r = 3.5 / 2 = 1.75 cm.
Since the height (h) is not given, we can express it in terms of the surface area and the radius:
82.97 = 2π(1.75)² + 2π(1.75)h
82.97 = 6.125π + 3.5πh
Now we solve for h:
82.97 = 6.125π + 3.5πh
82.97 - 6.125π = 3.5πh
h = (82.97 - 6.125π) / 3.5π
Calculating this gives us h ≈ 2.948 cm.
Therefore, the height of the candle is approximately 2.95 cm.