Question

the circumference of base of a cylinder is 22cm and it's curved surface area is 176 cm sq .find its total surface area?​

Answer 1

Answer:

Total surface area = 253 cm ^2

Step-by-step explanation:

hope it helps.

Answer 2

Recall:

$\text{Circumference } = 2\pi r$

$\text {Curved Surface Area } = 2\pi rh$

$\text {Surface Area } = 2\pi r^2 + 2\pi rh$

Find the radius:

$\text{circumference} = 2\pi r$

$\text{circumference} = 22 \text{ cm}$

$2\pi r = 22$

$r = 22 \div 2\pi$

$r = 3.5 \text { cm}$

Find the area of the base:

$\text {area} = \pi r^2$

$\text {area} = \pi (3.5)^2$

$\text{area } = 38.5 \text { cm}^2$

Find the total surface area:

$\text {Surface Area } = 2\pi r^2 + 2\pi rh$

$\text {Surface Area } = 2(38.5) + 176$

$\text {Surface Area } = 253 \text { cm}^2$

Answer: The total surface area is 253 cm³