The formula for the surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height of the cylinder.
Since the diameter is 3.5 cm, the radius is half of that, which is 1.75 cm.
We know that the surface area is 82.97 cm^2, so we can plug in the values and solve for h:
2π(1.75)^2 + 2π(1.75)h = 82.97
2π(3.0625) + 3.5πh = 82.97
6.125π + 3.5πh = 82.97
3.5πh = 76.845
h = 21.985
Therefore, the height of the cylinder is approximately 22 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.
__ cm2
3 answers
sorry wrong
Apologies for the mistake.
Let's try calculating it again:
Given:
Surface area of the candle = 82.97 cm^2
Diameter of the candle = 3.5 cm
Radius (r) = Diameter / 2 = 3.5 / 2 = 1.75 cm
Surface area of cylinder = 2πr^2 + 2πrh
Substitute the values:
82.97 = 2π(1.75)^2 + 2π(1.75)h
82.97 = 2π(3.0625) + 3.5πh
82.97 = 6.125π + 3.5πh
82.97 = 9.625π + 3.5πh
3.5πh = 82.97 - 9.625π
3.5πh = 53.845
h = 53.845 / (3.5π)
h ≈ 4.9 cm
Therefore, the height of the cylinder is approximately 4.9 cm.
Let's try calculating it again:
Given:
Surface area of the candle = 82.97 cm^2
Diameter of the candle = 3.5 cm
Radius (r) = Diameter / 2 = 3.5 / 2 = 1.75 cm
Surface area of cylinder = 2πr^2 + 2πrh
Substitute the values:
82.97 = 2π(1.75)^2 + 2π(1.75)h
82.97 = 2π(3.0625) + 3.5πh
82.97 = 6.125π + 3.5πh
82.97 = 9.625π + 3.5πh
3.5πh = 82.97 - 9.625π
3.5πh = 53.845
h = 53.845 / (3.5π)
h ≈ 4.9 cm
Therefore, the height of the cylinder is approximately 4.9 cm.