Question

please help frnds..​

Answer 1

Question

Find the curved surface area of the cylinder when

i) Height= 14 m and radius = 10 m

ii) Height = 10m and circumference = 12 m

Solution:-

i) When Height = 14 m and radius = 10 m

=>Curved surfaces area of cylinder is

$\rm \: = \: 2\pi rh$

=>Put the value on formula

$\rm = 2 \times \dfrac{22}{7} \times 10m \times 14m$

$\rm = 2 \times \dfrac{22}{ \cancel7} \times 10m \times \cancel{14} \: \: {}^{2} m$

$= \rm \: 2 \times 22 \times 10 m\times 2m$

$\rm = 880 {m}^{2}$

=>Curved surface area of cylinder is 880m²

ii) Height = 10m and circumference = 12m

=>Radius is not given so using circumference of circle , we find radius

$\rm \: circumference \: \: of \: circle \: = 2\pi r$

$\rm \: 12 = 2\pi r$

$6 = \dfrac{22}{7} \times r$

$42 = 22 \times r$

$\rm \: r = 1.9$

=>let r = 2 m because it is easy to calculation

H = 10 m

=>Curved surfaces area of cylinder is

$\rm \: = \: 2\pi rh$

$= 2 \times \dfrac{22}{7} \times 2 \times 10$

$\rm = \dfrac{880}{7} {m}^{2}$

$\rm= 125.71 {m}^{2}$

=>Curved surface area of cylinder is 125.71m²

Answer 2

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