Question

find CSA,TSA,and Volume of cylinder whose radius is 28 cm and height is 40cm
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Answer 1

Answer:

1. VOLUME OF CYLINDER =
2. $\pi \: r^{2} h$
3. TOTAL SURFACE AREA OF CYLINDER =
4. $2\pi \: r(r + h)$
5. CURVED SURFACE AREA OF CYLINDER =
6. $2\pi \: rh$

Answer 2

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.

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