- The curved surface area of this cylinder is equal to 1,495.59 m².
- The total surface area of this cylinder is equal to 194.80 m².
How to calculate the curved surface area of this cylinder?
Mathematically, the curved surface area of a cylinder can be calculated by using this formula:
CSA = 2πrh
Where:
- h represents the height of a cylinder.
- r represents the radius of a cylinder.
Next, we would determine the dimensions of this cylinder as follows:
d + h = 48
d - h = 20
2d = 68
d = 68/2
Diameter, d = 34 cm. ⇒ Radius, r = 34/2 = 17 cm.
h = 48 - d
h = 48 - 34
Height, h = 14 cm.
Substituting the given parameters into the formula, we have;
CSA = 2πrh
CSA = 2 × 3.142 × 17 × 14
CSA = 1,495.59 m².
For the total surface area, we have:
TSA = 2πr(r + h)
TSA = 2 × 3.142(17 + 14)
TSA = 2 × 3.142 × 31
TSA = 194.80 m².
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