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 π and round to the nearest tenth.(1 point)

Question

cm2

Answer 1

First, we need to find the radius of the cylinder. Since we know the diameter is 3.5 cm, the radius is half of the diameter, which is 1.75 cm.

Next, we can calculate the surface area of the cylinder using the formula:
Surface area = 2πr^2 + 2πrh
Surface area = 2π(1.75)^2 + 2π(1.75)h
Surface area = 2π(3.0625) + 3.5πh
Surface area = 6.125π + 3.5πh
82.97 = 6.125π + 3.5πh

Now we can solve for h:
82.97 = 6.125π + 3.5πh
82.97 = 9.625π + 3.5πh
-9.625π = 3.5πh
-2.75 = h

Therefore, the height of the cylinder is approximately 2.8 cm.