Question

find total surface area of cylinder of base radius 14cm and heghr 8cm​

Answer 1

Question :-

To Find Total Surface Area of a Cylinder.

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Diagram :-

Given in the image attached above.

Solution :-

Given Information :-

• ★ Height of the cylinder = 8 cm
• ★ Radius of the cylinder = 14 cm

To Find :-

• ★ The Total Surface Area of Cylinder

Formula Used :-

• ★ Total Surface Area of Cylinder = 2 π r ( h + r )

Calculation :-

Total Surface Area of Cylinder = 2 π r ( h + r )

Substituting the given values,

⇒ Total Surface Area of Cylinder = 2 × 22 / 7 × 14 ( 8 + 14 )

Cancelling 7 ( in denominator ) and 14, We get,

⇒ Total Surface Area of Cylinder = 2 × 22 × 2 ( 8 + 14 )

⇒ Total Surface Area of Cylinder = 2 × 22 × 2 ( 22 )

Opening the brackets, We get,

⇒ Total Surface Area of Cylinder = 2 × 22 × 2 × 22

⇒ Total Surface Area of Cylinder = 1936 cm²

∴ Total Surface Area of Cylinder = 1936 cm²

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Final Answer :-

The Total Surface Area of Cylinder is 1936 cm²

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Answer 2

Question :

find total surface area of cylinder of base radius 14cm and heghr 8cm

Concept :

• In this question we have to find the area of a cylinder of base radius 14cm and height 8cm.

Given :

• radius = 14 cm
• height = 8 cm

Using formula :

• 2 π r ( h + r )

Let's start :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \ \sf \: Let's \: apply \: the \: formula \: = 2πr( h + r )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: Now \: a pply \: all \: given \: numbers$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \sf \: so \: 2 \times \frac{22}{7} \times \cancel{14}(8 + 14)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \sf2 \times 22 \times 2(8 + 14)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \sf88 \times 22$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \sf1936 \: {cm}^{2}$

So your final answer is 1936 cm².

HopeYou understand this concept :)