Question

ܝܚܠA
ܕܫܡܢܠܓܢܫ
find the volume and curved surface area of a right circular cylindwtof height 2.1cm and base radius 6cm​

Answer 1

Given :

• Height of Cylinder is 2.1 cm .
• Radius of Cylinder is 6 cm .

To Find :

• Curved Surface Area of Cylinder .
• Volume of Cylinder .

Solution :

$\longmapsto\tt{Height=2.1\:cm}$

$\longmapsto\tt{Radius=6\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{6}\times\dfrac{{\cancel{21}}}{10}}$

$\longmapsto\tt{\dfrac{44\times{18}}{10}}$

$\longmapsto\tt{\dfrac{792}{10}}$

$\longmapsto\tt\bf{79.2\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 79.2 cm² .

Now ,

For Volume of Cylinder :

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}$

Putting Values :

$\longmapsto\tt{\dfrac{22}{{\cancel{7}}}\times{6}\times{6}\times\dfrac{{\cancel{21}}}{10}}$

$\longmapsto\tt{\dfrac{22\times{36}\times{3}}{10}}$

$\longmapsto\tt{\dfrac{2376}{10}}$

$\longmapsto\tt\bf{237.6\:{cm}^{3}}$

So , The Volume of Cylinder is 237.6 cm³ .

Answer 2

Answer:

Given :-

• A right circular cylinder of height 2.1 cm and base radius is 6 cm.

To Find :-

• What is the volume and curved surface area of a right circular cylinder.

Formula Used :-

❶ To find volume of right circular cylinder we know that,

$\boxed{\bold{\small{Volume\: of\: cylinder\: =\: {\pi}{r}^{2}h}}}$

❷ To find curved surface area of a cylinder we know that,

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

where,

• r = Radius
• h = Height

Solution :-

Given :

• Radius = 6 cm
• Height = 2.1 cm

❶ To find volume of a cylinder,

⇒ Volume of cylinder = $\dfrac{22}{7} \times {(6)}^{2} \times 2.1$

⇒ Volume of cylinder = $\dfrac{22}{7} \times 36 \times 2.1$

⇒ Volume of cylinder = $\dfrac{22}{7} \times 75.6$

➠ Volume of cylinder = 237.6 cm³

$\therefore$ The volume of right circular cylinder is 237.6 cm³ .

❷ To find curved surface area of a cylinder,

↦ C.S.A of cylinder = $2 \times \dfrac{22}{7} \times 6 \times 2.1$

↦ C.S.A of cylinder = $2 \times \dfrac{22}{7} \times 12.6$

↦ C.S.A of cylinder = $2 \times 39.6$

➥ C.S.A of cylinder = 79.2 cm²

$\therefore$ The curved surface area of a right circular cylinder is 79.2 cm² .