Question

2. Find the volume of the right circular
cylinder which has the base radius of
21 m and height 14 m.​

Answer 1

Given :

• Radius of Cylinder is 21 m .
• Height of Cylinder is 14 m .

To Find :

• Volume of Cylinder .

Solution :

$\longmapsto\tt{Radius=21\:m}$

$\longmapsto\tt{Height=14\:m}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{22}{{\cancel{7}}}\times{21}\times{21}\times{{\cancel{14}}}}$

$\longmapsto\tt{22\times{21}\times{21}\times{2}}$

$\longmapsto\tt\bf{19404\:{cm}^{3}}$

So , The Volume of Cylinder is 19404 cm³ .

____________________

• Curved Surface Area of Cylinder = 2πrh
• Total Surface Area of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h

Here :

• r = radius
• h = height
• π = 3.14 or 22/7

____________________

Answer 2

Answer:

Given :-

• A right circular cylinder whose base radius is 21 cm and the height is 14 cm.

To Find :-

• What is the volume of a right circular cylinder.

Formula Used :-

$\clubsuit$ Volume Of Right Circular Cylinder Formula :

$\mapsto \sf\boxed{\bold{\pink{Volume_{(Cylinder)} =\: {\pi}r^2h}}}$

where,

• π = pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

$\bigstar\: \: \bf{Radius\: (r) =\: 21\: cm}$

$\bigstar\: \: \bf{Height\: (h) =\: 14\: cm}$

According to the question by using the formula we get,

$\leadsto \sf\bold{\purple{Volume_{(Cylinder)} =\: {\pi}r^2h}}$

As we know that : [ π = 22/7 ]

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times (21)^2 \times 14$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times 21 \times 21 \times 14$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times 441 \times 14$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22}{\cancel{7}} \times {\cancel{6174}}$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22}{1} \times 882$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{22 \times 882}{1}$

$\longrightarrow \sf Volume_{(Cylinder)} =\: \dfrac{19404}{1}$

$\longrightarrow \sf\bold{\red{Volume_{(Cylinder)} =\: 19404\: cm^3}}$

${\small{\bold{\underline{\therefore\: The\: volume\: of\: the\: right\: circular\: cylinder\: is\: 19404\: cm^3\: .}}}}$