Question

the radius of circular cylinder is 10•5cm and it's hieght is 24cm find its curved surface area and total surface area​

Answer 1

Given :

• Radius of Cylinder 10.5 cm .
• Height of Cylinder is 24 cm .

To Find :

• Curved Surface and Total Surface Area of Cylinder .

Solution :

$\longmapsto\tt{Radius=10.5\:cm}$

$\longmapsto\tt{Height=24\:cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times\dfrac{{\cancel{105}}}{10}\times{24}}$

$\longmapsto\tt{\dfrac{44\times{15}\times{24}}{10}}$

$\longmapsto\tt{\dfrac{15840}{10}}$

$\longmapsto\tt\bf{1584\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 1584 cm² .

_______________________

For Total Surface Area :

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times\dfrac{{\cancel{105}}}{10}\times{(10.5+24)}}$

$\longmapsto\tt{\dfrac{44\times{15}}{10}\times{(10.5+24)}}$

$\longmapsto\tt{\dfrac{660}{10}\times{34.5}}$

$\longmapsto\tt{66\times{34.5}}$

$\longmapsto\tt\bf{2277\:{cm}^{2}}$

So , The Total Surface Area of Cylinder is 2277 cm² .

Answer 2

Answer:

Given :-

• The radius of circular cylinder is 10.5 cm and its height is 24 cm.

To Find :-

• What is the CSA and TSA of the circular cylinder.

Formula Used :-

❶ To find CSA of cylinder we know that,

$\boxed{\bold{\small{Curved\: Surface\: Area\: of\: Cylinder\: =\: 2{\pi}rh}}}$

❷ To find TSA of cylinder we know that,

$\boxed{\bold{\small{Total\: Surface\: Area\: of\: Cylinder=\: 2{\pi}r(r + h)}}}$

where,

• r = Radius
• h = Height

Solution :-

❶ To find CSA of cylinder,

Given :

• Radius = 10.5 cm
• Height = 24 cm

According to the question by using the formula we get,

⇒ CSA = $2 \times \dfrac{22}{7} \times 10.5 \times 24$

⇒ CSA = $2 \times \dfrac{22}{7} \times 252$

⇒ CSA = $2 \times 792$

➠ CSA = 1584 cm²

$\therefore$ The curved surface area of a cylinder is 1584 cm² .

❷ To find TSA of cylinder,

Given :

• Radius = 10.5 cm
• Height = 24 cm

According to the question by using the formula we get,

↦ TSA = $2 \times \dfrac{22}{7} \times 10.5(10.5 + 24)$

↦ TSA = $2 \times \dfrac{22}{7} \times 10.5(34.5)$

↦ TSA = $2 \times \dfrac{22}{7} \times 362.25$

↦ TSA = $2 \times 1138.5$

➥ TSA = 2277 cm²

$\therefore$ The total surface area of cylinder is 2277 cm² .