To find the surface area of a cylinder, you need to use the formula:
Surface Area = 2πr^2 + 2πrh
Given that the diameter is 3.5 cm, the radius (r) would be half of that, which is 1.75 cm.
Using the formula:
Surface Area = 2π(1.75)^2 + 2π(1.75)h
Surface Area = 2π(3.0625) + 3.5πh
82.97 = 6.125π + 3.5πh
82.97 = 9.625πh
We know that π is approximately 3.14, so plug that in:
82.97 = 9.625(3.14)h
82.97 = 30.22h
h ≈ 2.74 cm
Therefore, the height of the candle is approximately 2.74 cm.
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)
cm^2
1 answer