Question

the diameter of right circular cylinder is 7 cm and its height is 16 cm Bind
the total surface area of the cylinder?​

Answer 1

Given :

• Diameter of the Cylinder is 7 cm .
• Height of Cylinder is 16 cm .

To Find :

• Total Surface Area of Cylinder .

Solution :

$\longmapsto\tt{Radius=\dfrac{7}{2}cm}$

$\longmapsto\tt{Height=16\:cm}$

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{{\not{2}}\times\dfrac{22}{{\not{7}}}\times\dfrac{{\not{7}}}{{\not{2}}}\times\bigg(\dfrac{7}{2}+\dfrac{16}{1}\bigg)}$

$\longmapsto\tt{22\times\bigg(\dfrac{7+32}{2}\bigg)}$

$\longmapsto\tt{{\cancel{22}}\times\dfrac{39}{{\cancel{2}}}}$

$\longmapsto\tt{11\times{39}}$

$\longmapsto\tt{429\:{cm}^{2}}$

So , The Total Surface Area of Cylinder is 429 cm² .

_________________________

• C.S.A of Cylinder = 2πrh
• T.S.A of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h

_________________________

Answer 2

$\Large{\underbrace{\underline{\bf{TO\: FIND\::}}}}$

• Total surface area of the cylinder.

$\Large{\underbrace{\underline{\bf{GIVEN\::}}}}$

• Diameter (d) of a cylinder is 7 cm.

• Height (h) of the cylinder is 16 cm.

$\Large{\underbrace{\underline{\bf{SOLUTION\::}}}}$

$\longrightarrow\:\sf{Radius_{(cylinder)}\:=\:\dfrac{Diameter}{2}\:}$

$\longrightarrow\:\sf{Radius_{(cylinder)}\:=\:\dfrac{7}{2}\:cm}$

☛ As we know that, total surface area of the cylinder is given as

$\orange\bigstar\:\mid\:\bf\pink{T.S.A_{(cylinder)}\:=\:2\pi{r}\:(r\:+\:h)\:}\:\mid\:\green\bigstar$

➵ T.S.A = 2 × $\sf{\dfrac{22}{7}}$ × $\sf{\dfrac{7}{2}}$ $\bigg(\sf{\dfrac{7}{2}\:+\:16}\bigg)$

➵ T.S.A = 2 × 11 $\bigg(\sf{\dfrac{7\:+\:32}{2}}\bigg)$

➵ T.S.A = 2 × 11 × $\sf{\dfrac{39}{2}}$

➵ T.S.A = 11 × 39

➵ T.S.A = 429 cm²

∴ The total surface area of the cylinder is 429 cm².