find the diameter of a cylinder whose curved surface area is 88square cm if its height is 14 cm?
Answers
Answered by
245
AnswEr :
◗ CSA of a cylinder = 88 cm²
◗ Height of a cylinder = 14 cm
◗ Diameter of a cylinder = ?
• R A D I U S⠀O F A⠀C Y L I N D E R :
↠ CSA of cylinder = 2πrh
↠ 88 = 2 × 22/7 × r × 14
↠ 88 ÷ 2 = 22 × r × 2
↠ 44 = 44r
↠ r = 44 ÷ 44
↠ r = 1 cm
∴ The radius of cylinder is 1 cm.
_______________________________
•D I A M E T E R O F A⠀C Y L I N D E R :
↠ Diameter = Radius × 2
↠ Diameter = 1 × 2
↠ Diameter = 2 cm
∴ The Diameter of cylinder is 2 cm.
━━━━━━━━━━━━━━━━━━━━━━━━
◗ Radius of cylinder = 1 cm
◗ Diameter of cylinder = 2 cm
Answered by
59
Question:-
- Find the diameter of a cylinder whose curved surface area is 88 square cm if its height is 14 cm ?
Given:-
- Area is 88 square cm and its height is 14 cm.
Solution:-
- CSA of cylinder = 88 cm²
- Height of the cylinder = 14 cm
- Diameter of the cylinder = ?
Now ,
We have to find the radius of the cylinder:-
CSA of cylinder = 2πrh
88 = 2 * 22/7 * r * 14
88/2 = 22 * 2 * r
44 = 44r
r = 44/44
r = 1
Then ,
Diameter of a cylinder:-
Diameter = Radius * 2
Diameter = 1 * 2
Diameter = 2
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