Question

The radius and height of cylinder are 14cm and 5m respectively. Find its Surface area

Answer 1

$\underline{\pink {Dimensions \:of \:a \: cylinder :}}$

$Radius (r) = 14 \:cm$

$Height (h) = 5 \:m = 500 \:cm$

$\boxed { \pink { Curved \:surface \:area = 2\pi rh }}$

$CSA \:of \:a \:cylinder = 2 \times \frac{22}{7} \times 14 \times 500 \\= 44000 cm^{2}$

$\boxed { \pink { Total \:surface \:area = 2\pi r(r+h) }}$

$TSA \:of \:the \:cylinder\\ = 2\times \frac{22}{7} \times 14 ( 14 + 500) \\= 2\times 22 \times 2 \times 514\\= 45232 \:cm^{2}$

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Answer 2

Answer:

★ CSA = 44,000 cm² ★

★ TSA = 45,232 cm² ★

Step-by-step explanation:

Given:

• Radius of cylinder is 14 cm.
• Height of cylinder is 5 m.

To Find:

• Curved Surface Area and Total Surface Area.

Solution: Here Height is in meter and radius is in centimeter so we have to make both units same.

→ 1 m = 100 cm

∴ 5 m = 5 x 100 = 500 cm

★ CSA of cylinder = 2πrh ★

• Putting all values in formula •

$\small\implies{\sf }$ CSA = 2 x 22/7 x 14 x 500

$\small\implies{\sf }$ CSA = 44/7 x 7000

$\small\implies{\sf }$ CSA = 308000/7

$\small\implies{\sf }$ CSA = 44,000 cm²

Hence, It's Curved surface area will be 44,000 cm²

★ TSA of cylinder = 2πr ( h + r ) ★

• Putting all values in formula •

$\small\implies{\sf }$ TSA = 2 x 22/7 x 14 x ( 500 + 14 )

$\small\implies{\sf }$ TSA = 44/7 x 14 x ( 514 )

$\small\implies{\sf }$ TSA = 616/7 x 514

$\small\implies{\sf }$ TSA = 88 x 514

$\small\implies{\sf }$ TSA = 45,232 cm²

Hence, It's Total Surface area will be 45,232 cm²