Question

The circumference of a right circular cylinder is 77cm. find the total surface area if its height is 1.2m. Answer of this question is 10183.25cm square is answer Please give me full solution for this question

Answer 1

$c = 2\pi r \: = 77cm \\ h = 1.2m = 120cm \\ c.s.a \: of \: cylinder = 2\pi rh \\ = 77 \times 120 \\ = 9240 {cm}^{2} \\ \\ 2\pi r = 77 \\ r = \frac{77 \times 7}{44} = 12.25cm \\ \\ area \: of \: remaining \: portion = 2 \pi{r}^{2} \\ area = 2 \times \frac{22}{7} \times 12.25 \times 12.25 \\ area = 943.25 {cm}^{2} \\ \\ total \: area = 9240 + 943.25 \\ total \: area = 10183.25 {cm}^{2}$

Answer 2

Total surface area of cylinder is $10183.25 cm^2$

Step-by-step explanation:

Circumference of base =$2\pi r$

We are given that The circumference of a right circular cylinder is 77cm

So,  $2\pi r =77$

$2 \times \frac{22}{7} \times r = 77$

$r = 77 \times \frac{7}{2 \times 22}$

$r = 12.25$

Height of cylinder = 1.2 m = 120 cm

Total surface area of cylinder = $2 \pi rh +2\pi r^2 = 2 \times \frac{22}{7} \times 12.25 \times 120+2 \times \frac{22}{7} \times 12.25^2=10183.25 cm^2$

Hence Total surface area of cylinder is $10183.25 cm^2$

#learn more :

If the perimeter of a right circular cylinder is 77cm then find the total surface area if height 1.2m

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