Question

The curved surface area of a cylinder is 1210cm square and its diameter is 20cm. Find the height

Answer 1

Answer:

19.25

Step-by-step explanation:

csa=1210

2πrh=1210

2×22÷7×10×h=1210

62.8×h=1210

h=1210÷62.8

ans=19.25

Answer 2

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

• Curved surface area of cylinder = 1210 cm²
• Cylinder of Diameter = 20 cm

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

• Fine the height ....?

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

$\: \: \: \: \: \therefore \: \: Curved \: \: surface \: \: area \: \: of \: \: Cylinder \: \: = \: \: {2} \: \pi \: r \: h$

$\: \: \: \: \: \leadsto \: \: {2} \: \times \: \frac{22}{7} \: \times \: {10} \: \times \: {h} \: \: = \: \: {1210}$

$\: \: \: \: \: \leadsto \: \: \frac{44}{7} \: \times \: {10} \: \times \: {h} \: \: = \: \: {1210}$

$\: \: \: \: \: \leadsto \: \: \frac{440}{7} \: \times \: {h} \: \: = \: \: {1210}$

$\: \: \: \: \: \leadsto \: \: {h} \: \: = \: \: {1210} \: \times \: \frac{7}{440}$

$\: \: \: \: \: \leadsto \: \: {h} \: \: = \: \: {110} \: \times \: \frac{7}{40}$

$\: \: \: \: \: \leadsto \: \: {h} \: \: = \: \: {10} \: \times \: \frac{7}{4}$

$\: \: \: \: \: \leadsto \: \: {h} \: \: = \: \: \frac{77}{4}$

$\: \: \: \: \: \leadsto \: \: {h} \: \: = \: \: {19.5} \: cm.$

$\: \: \: \: \: \: \: Hence, \\ \: \:\therefore \: \: The \: \: height \: \: of \: \: a \: \: cylinder \: \: {19.5} \: cm.$

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

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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