. The diameter of base of the right circular cylinder is 28 cm and height is
21 cm. Find its CSA, TSA, and volume.
Answers
Step-by-step explanation:
Height = 21 cm
Diameter = 28 cm
Radius = ( 28 / 2 ) cm
=14 cm
volume = 22/7 × 14 × 14 ×21
= 22 × 14 × 14 × 3
= 12936 cm ^3
CSA = 2 × 22/7 × 14 × 21
= 1848 cm ^ 2
TSA = 2 × 22/7 × 14 ( 21 + 14 )
= 3080 cm ^ 2
Given :
- The diameter of base of the right circular cylinder is 28 cm and height is 21 cm.
To Find :
- CSA of cylinder = ?
- TSA of cylinder = ?
- Volume of cylinder = ?
Solution :
⌬ Diameter of base of the right circular cylinder = 28 cm
⌬ Height of base of the right circular cylinder = 21 cm
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★ First of all calculate the radius of cylinder :
→ Radius = Diameter ÷ 2
→ Radius = 28 ÷ 2
→ Radius = 14 cm
- Hence,the radius of base of the right circular cylinder is 14 cm.
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★ Finding the Volume of cylinder :
➺ Volume of cylinder = πr²h
➺ Volume of cylinder = 22/7 × (14)² × 21
➺ Volume of cylinder = 22/7 × 196 × 21
➺ Volume of cylinder = 22 × 28 × 21
➺ Volume of cylinder = 12936 cm³
- Hence,the volume of cylinder is 12936 cm³.
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★ Finding the lateral surface area of cylinder :
➻ CSA of cylinder = 2πrh
➻ CSA of cylinder = 2 × 22/7 × 14 × 21
➻ CSA of cylinder = 2 × 22 × 2 × 21
➻ CSA of cylinder = 44 × 42
➻ CSA of cylinder = 1848 cm²
- Hence,the lateral surface area of cylinder is 1848 cm².
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★ Let's find the total surface area of cylinder :
⋙ TSA of cylinder = 2πr(h + r)
⋙ TSA of cylinder = 2 × 22/7 × 14 (21 + 14)
⋙ TSA of cylinder = 2 × 22 × 2 (35)
⋙ TSA of cylinder = 2 × 22 × 70
⋙ TSA of cylinder = 44 × 70
⋙ TSA of cylinder = 3080 cm²
- Hence,the total surface area of the cylinder is 3080 cm².
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