The surface area of a cylinder is given by the formula:
SA = 2πr^2 + 2πrh
Where r is the radius and h is the height of the cylinder.
Given that the diameter is 3.5 cm, the radius is half of the diameter which is 1.75 cm. Let h be the height of the cylinder.
So the surface area of the candle is:
82.97 = 2π(1.75)^2 + 2π(1.75)h
82.97 = 6.125π + 3.5πh
82.97 = 9.625π + 3.5πh
82.97 = 3.5πh + 9.625π
Solving for h:
3.5πh = 82.97 - 9.625π
3.5πh = 73.265
h = 73.265 / (3.5π)
h ≈ 6.67 cm
Therefore, the surface area of the candle is approximately 82.97 square centimeters.
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.
___ cm^2
3 answers
sorry it says wrong
Let's try calculating the surface area of the cylinder again with the correct formula.
Given:
Surface area (SA) = 82.97 cm²
Diameter = 3.5 cm
Radius (r) = Diameter / 2 = 3.5 cm / 2 = 1.75 cm
The surface area of a cylinder formula is:
SA = 2πr^2 + 2πrh
We need to calculate the height (h) of the cylinder using the given data.
Substitute the known values into the formula:
82.97 = 2π(1.75)^2 + 2π(1.75)h
82.97 = 2π(3.0625) + 3.5πh
82.97 = 19.4176π + 3.5πh
Subtract 19.4176π from both sides:
82.97 - 19.4176π = 3.5πh
63.55 = 3.5πh
h = 63.55 / (3.5π)
h ≈ 5.73 cm
So, the height of the cylinder is approximately 5.73 cm.
Given:
Surface area (SA) = 82.97 cm²
Diameter = 3.5 cm
Radius (r) = Diameter / 2 = 3.5 cm / 2 = 1.75 cm
The surface area of a cylinder formula is:
SA = 2πr^2 + 2πrh
We need to calculate the height (h) of the cylinder using the given data.
Substitute the known values into the formula:
82.97 = 2π(1.75)^2 + 2π(1.75)h
82.97 = 2π(3.0625) + 3.5πh
82.97 = 19.4176π + 3.5πh
Subtract 19.4176π from both sides:
82.97 - 19.4176π = 3.5πh
63.55 = 3.5πh
h = 63.55 / (3.5π)
h ≈ 5.73 cm
So, the height of the cylinder is approximately 5.73 cm.