Question

Find the lateral surface area and total surface area of a cylinder with 21 cm radius and 45
cm in height.

Answer 1

Answer:

CSA of cylinder = 5934.6 cm²

Step-by-step explanation:

Given:

Radius of cylinder = 21 cm

Height of cylinder = 45 cm

To Find:

CSA of cylinder

Now, we know that,

⇒ CSA of cylinder = 2πrh

⇒ CSA of cylinder = 2 × 3.14 × 21 × 45

⇒ CSA of cylinder = 6.28 × 945

⇒ CSA of cylinder = 5934.6 cm²

Hence, CSA of cylinder = 5934.6 cm²

Extra Info:

⇒ TSA of cylinder = 2πr(h+r)

⇒ LSA of cylinder = 2πrh

⇒ Volume of Cylinder = πr²h

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Answer 2

Answer:

$curved \: surface \: area \: of \: cylinder \: = 2\pi \: rh \\ = 2 \times \frac{22}{7} \times 21 \times 45 \\ = 2 \times 22 \times 3 \times 45 \\ = 44 \times 135 \\ = 5940 {cm}^{2}$

$total \: surface \: area \: of \: cylinder = 2\pi \: r(r + h) \\ = 2 \times \frac{22}{7} \times 21(21 + 45) \\ = 2 \times 22 \times 3 \times 66 \\ = 44 \times 198 \\ = 8712$

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