The radius and height of cylinder are 14cm and 5m respectively. Find i

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

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

Answer»

★ CSA = 44,000 cm² ★

★ TSA = 45,232 cm² ★

Step-by-step explanation:

Given:

To FIND:

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