find CSA,TSA,and Volume of cylinder whose radius is 28 cm and height is 40cm
Answers
Step-by-step explanation:
refer to the attachment...
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Answer:
- CSA of cylinder = 7040 cm²
- TSA of cylinder = 11968 cm²
- Volume of cylinder = 98560 cm³
Explanation:
Given information,
Find CSA, TSA, and Volume of cylinder whose radius is 28 cm and height is 40 cm.
- Radius of cylinder = 28 cm
- Height of cylinder = 40 cm
- CSA of cylinder = ?
- TSA of cylinder = ?
- Volume of cylinder = ?
Using formula,
✪ CSA of cylinder = 2πrh ✪
Where,
- r denotes radius of cylinder
- h denotes height of cylinder
We have,
- Radius of cylinder (r) = 28 cm
- Height of cylinder (h) = 40 cm
- CSA of cylinder = ?
Putting all values,
➻ CSA of cylinder = 2 × 22/7 × 28 × 40
➻ CSA of cylinder = 2 × 22/1 × 4 × 40
➻ CSA of cylinder = 2 × 22 × 4 × 40
➻ CSA of cylinder = 44 × 160
➻ CSA of cylinder = 7040 cm²
- Henceforth, CSA of cylinder is 1040 cm².
Using formula,
✪ TSA of cylinder = 2πr(r + h) ✪
Where,
- r denotes radius of cylinder
- h denotes height of cylinder
We have,
- Radius of cylinder (r) = 28 cm
- Height of cylinder (h) = 40 cm
- TSA of cylinder = ?
Putting all values,
➻ TSA of cylinder = 2 × 22/7 × 28(28 + 40)
➻ TSA of cylinder = 2 × 22/1 × 4(68)
➻ TSA of cylinder = 2 × 22 × 4 × 68
➻ TSA of cylinder = 44 × 272
➻ TSA of cylinder = 11968 cm²
- Henceforth, TSA of cylinder is 11968 cm².
Using formula,
✪ Volume of cylinder = πr²h ✪
Where,
- r denotes radius of cylinder
- h denotes height of cylinder
We have,
- Radius of cylinder (r) = 28 cm
- Height of cylinder (h) = 40 cm
- Volume of cylinder = ?
Putting all values,
➻ Volume of cylinder = 22/7 × (28)² × 40
➻ Volume of cylinder = 22/7 × 28 × 28 × 40
➻ Volume of cylinder = 22/1 × 4 × 28 × 40
➻ Volume of cylinder = 22 × 4 × 28 × 40
➻ Volume of cylinder = 88 × 1120
➻ Volume of cylinder = 98560 cm³
- Henceforth, Volume of cylinder is 98560 cm³.