Question

If the diameter of a cylinder is 28 cm and its height 20cm, then the total surface area is

Answer 1

this is your answer.

Answer 2

$\large\underline\pink{Given:-}$

• Cylinder of Height = 20 cm
• Cylinder of Diameter = 28 cm

$\large\underline\pink{To find:-}$

• Fine the total surface area ....?

$\large\underline\pink{Solutions:-}$

$\: \: \: \: \: \therefore \: \: Total \: \: surface \: \: area \: \: of \: \: Cylinder \: \: = \: \: {2} \: \pi \: r \: {(r \: + \: h)}$

$\: \: \: \: \: \leadsto \: \: {2} \: \times \: \frac{22}{7} \: \times \: {14} \: {({14} \: + \: {10})}$

$\: \: \: \: \: \leadsto \: \: {44} \: \times \: {2} \: \times \: {34}$

$\: \: \: \: \: \leadsto \: \: {44} \: \times \: {68}$

$\: \: \: \: \: \leadsto \: \: {2992}$

$\: \: \: \: \: \: \: Hence, \\ \: \:\therefore \: \: Total \: \: surface \: \: area \: \: of \: \: Cylinder \: \: = \: \: {2992} \: {cm}^{2}$

$\large\underline\pink{More \: Important:-}$

Volume of cylinder ( Area of base × height ).

= (πr²) × h

= πr²h

Curved surface = ( Perimeter of base ) × height.

= (2πr) × h

= πrh

Total surface are = Area of circular ends + curved surface area.

= 2πr² + 2πrh

= 2πr(r + h)

Where,

r = radius of the circular base of the cylinder.

h = height of cylinder.

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