the curved surface area of a cylinder of height 28 cm is 352 sq.cm. find the diameter of the base of the cylinder
Answers
Answer :
- The Diameter of the base of cylinder is 4cm
Given :
- height is 28cm
- curved surface area of cylinder is 352cm²
To find :
- Diamter of the base of the cylinder
Solution :
As we know that :
- curved surface area of cylinder = 2πrh
where h is 28cm , CSA is 352cm² and radius = ?
➙ curved surface area of cylinder = 2πrh
➙ 352 = 2 × 22/7 × r × 28
➙ 352 = 44/7 × r × 28
➙ 352 = 44 × 4 × r
➙ 352 = 176 × r
➙ r = 352/176
➙ r = 2cm
Hence , Radius is 2cm
Now we have to find the Diameter of the base of cylinder:
As we know that :
- Diameter = 2 × r
where r is 2cm
➙ 2 × 2
➙ 4cm
Hence ,Diameter of base of cylinder is 4cm
- Radius = 2cm
- Diameter of base of cylinder is 4cm
Answer:
Answer :
The Diameter of the base of cylinder is 4cm
Given :
height is 28cm
curved surface area of cylinder is 352cm²
To find :
Diamter of the base of the cylinder
Solution :
As we know that :
curved surface area of cylinder = 2πrh
where h is 28cm , CSA is 352cm² and radius = ?
➙ curved surface area of cylinder = 2πrh
➙ 352 = 2 × 22/7 × r × 28
➙ 352 = 44/7 × r × 28
➙ 352 = 44 × 4 × r
➙ 352 = 176 × r
➙ r = 352/176
➙ r = 2cm
Hence , Radius is 2cm
Now we have to find the Diameter of the base of cylinder:
As we know that :
Diameter = 2 × r
where r is 2cm
➙ 2 × 2
➙ 4cm
Hence ,Diameter of base of cylinder is 4cm
Radius = 2cm
Diameter of base of cylinder is 4cm