If the diameter of a solid cylinder with length 140 Cm is 8cm find its curved surface area, total surface area and volume.
Answers
Given,
The length of the cylinder is 140 centimetres
The diameter of the cylinder is 8 centimetres
To find,
The curved surface area, total surface area and volume of the cylinder.
Solution,
First of all we have to calculate the radius of the cylinder.
Radius = Diameter/2 = 8/2 = 4 cm
Base circumference = 2×π×4 = 8 × 22/7 = 176/7 = 25.14 cm
Base area = π×(4)² = 22/7 × 16 = 50.28 cm²
Volume = Base area × length = 50.28 × 140 = 7039.2 cm³
Curved surface area = Base circumference × Height
= 25.14 × 140
= 3519.6 cm²
Total surface area = CSA + (2× base area)
= 3519.6 + (2×50.28)
= 3519.6 + 100.56
= 3620.16 cm²
Hence, the volume of the cylinder is 7039.2 cm³, curved surface area of cylinder is 3519.6 cm² and total surface area of the cylinder is 3620.16 cm².
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