Question

Find curved surface area and total surface of a cyljnder when r = 7 and h = 12 cm

Answer 1

Given :-

• Cylinder
• Radius = 7 cm
• Height = 12 cm

To find :-

• Total Surface Area

Solution :-

Total Surface Area of Cylinder is given by :-

${\large{\underline{\boxed{\bf{\red{T.S.A =2 \pi r(r+h)}}}}}}$

Here :-

• T.S.A = Total Surface Area
• π = pi
• r = Radius
• h = hight

So,

$\large{\bf{{T.S.A =2 \pi r(r+h)}}}$

$\large{\bf{{T.S.A =2 \times \cfrac{22}{7} \times 7(7+12)}}}$

$\large{\bf{{T.S.A =2 \times 22 \times (19)}}}$

$\large{\bf{{T.S.A = 44 \times 19}}}$

$\large{ \underline{ \overline{ \boxed{\bf{ \pink{T.S.A =836\: cm^2}}}}}}$

So, Total Surface are is 836 cm².

Answer 2

Concept

Total surface area is the area which covers all the area of a solid figure including its curved surface and its base area.

Curved surface area is the area only of border line of any figure excluding its base area.

Given :

Radius of the cylinder =7 cm

Height of the Cyclinder=12cm

To Find :

Total Surface Area and Curved Surface Area

Know :Radius is half of diameter

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

$\bold{\boxed{\boxed{Curved \:Surface\: Area \:Of\: a \:Cylinder=2πrh}}}$

=>value of π is 22/7 or 3.14 Here ,we take 22/7

$= > 2 \times \frac{22}{7} \times 7 \times 12$

$= > 44 \times 12 = \bold{\blue{58 {cm}^{2}}}$

$\bold{\boxed{\boxed{Total \:Surface \:Area=2πr(r+h)}}}$

$= > 2 \times \frac{22}{7} \times 7(7 + 12)$

$= > \frac{44}{7} \times 7(19)$

$= > 44 \times 19 ={\red{ 836 {cm}^{2}}}$

$\therefore$ CSAof Cyclinder is $\bold{\blue{58 {cm}^{2}}}$

$\therefore$ TSA of Cyclinder is $\bold{\red{836 {cm}^{2}}}$