1. The diameter of a cylinder is 28 cm and its height is 40 cm. Find the
curved surface area, total surface area and the volume of the cylinder.
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Topic
Mensuration
Given
There is a cylinder with dimensions :-
- Diameter = 28 cm
- Radius = Diameter / 2 = 28 / 2 = 14 cm
- Height = 40 cm
To Find
Curved Surface Area, Total Surface Area and Volume of given Cylinder.
Formula for a Cylinder
Curved Surface Area
2πrh
Total Surface Area
2πr( r + h )
Volume
πr²h
where
- r = Radius of Cylinder
- h = Height of Cylinder
Solution
Curved Surface Area ( CSA )
2πrh
2π( 14 cm )( 40 cm )
2 × 22/7 × 14 × 40 cm²
3520 cm²
Total Surface Area ( TSA )
2πr( r + h )
2 × 22/7 × 14 × ( 14 + 40 ) cm²
4752 cm²
Volume ( V )
πr²h
22/7 × ( 14 )² × 40 cm³
24640 cm³
Answer
So,
- CSA = 3520 cm²
- TSA = 4752 cm²
- V = 24640 cm³
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