A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its
curved surface area and the total surface area.
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›»› The curved surface area of cylinder is 1760 cm².
›»› The total surface area of cylinder is 2992 cm².
Given :
- A cylindrical drum has a height of 20 cm and base radius of 14 cm.
To Find :
- Curved surface area of cylinder.
- Total surface area of cylinder.
Solution :
- Radius = 14 cm.
- Height = 20 cm.
As we know that
→ CSA of cylinder = 2πrh
→ CSA of cylinder = 2 * 22/7 * 14 * 20
→ CSA of cylinder = 2 * 22 * 2 * 20
→ CSA of cylinder = 44 * 2 * 20
→ CSA of cylinder = 88 * 20
→ CSA of cylinder = 1760
Hence, the curved surface area of cylinder is 1760 cm².
As we know that
→ TSA of cylinder = 2πrh + 2πr
→ TSA of cylinder = 2πr(h + r)
→ TSA of cylinder = 2 * 22/7 * 14(20 + 14)
→ TSA of cylinder = 2 * 22/7 * 14 * 34
→ TSA of cylinder = 2 * 22 * 2 * 34
→ TSA of cylinder = 44 * 2 * 34
→ TSA of cylinder = 88 * 34
→ TSA of cylinder = 2992
Hence, the total surface area of cylinder is 2992 cm².
Extra Brainly Knowledge :
- Volume of cylinder = πr²h.
- TSA of cylinder = 2πrh + 2πr².
- Volume of cuboid = l * b * h.
- CSA of cuboid = 2(l + b)h.
- TSA of cuboid = 2(lb + bh + lh).
- CSA of cube = 4a².
- TSA of cube = 6a².
- Volume of cube = a³.
Where,
- The value of π is 22/7 or 3.14.
- r is the Radius.
- h is the Height.
- l is the Length.
- b is the Breadth.
- a is the Side.
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