Question

find the total surface area of a cylinder whise base radius 14cm and height is 28 cm with equation ​

Answer 1

Answer :

• The total surface area of cylinder is 3696cm²

Given :

• Radius of cylinder is 14cm
• Height of cylinder is 28cm

To find :

• Total surface area of cylinder

Solution :

As we know that ,

• Total surface area of cylinder =2πr(r + h)

Where r is radius 14cm and h is height 28cm

⇢ 2πr(r + h)

⇢ 2 × 22/7 × 14(14 + 28)

⇢ 2 × 22 × 2(14 + 28)

⇢ 44 × 2 (14 + 28)

⇢ 88 (14 + 28)

⇢ 88(42)

⇢ 3696 cm²

Hence , The total surface area of cylinder is 3696cm²

More Explanation :

• Surface area of cylinder = 2πr(r + h)
• Curved surface area of cylinder = 2πrh
• Volume of cylinder = πr²h
• Where , r is radius and h is height

Answer 2

Given:-

• Base radius = 14cm.
• Height = 28cm.

To Find:-

• Total surface area of cylinder = ?

Solution:-

We know that,

$\large\sf\pink{Total\:surface\:area\:of\:cylinder=2πr(r+h)}$

where r is radius 14cm and h is height 28cm.

$\sf \implies \: 2 \pi \: r(r + h) \\ \\ \sf \implies \: 2 \times \frac{22}{7} \times 14(14 + 28) \\ \\ \sf \implies \: 2 \times 22 \times 2(14 + 28) \\ \\ \sf \implies \: 44 \times 2(14 + 28) \\ \\ \sf \implies \: 88(14 + 28) \\ \\ \sf \implies \: 88(42) \\ \\ \sf \implies \: 3696 {cm}^{2}$

Hence, Total surface area of cylinder is 3696$\sf{cm}^{2}$