Question

if the radius of a cylinder is 14 cm and the height is 5 cm then find volume of this cylinder (22 /7)​

Answer 1

Step-by-step explanation:

volume = 22/7× 14×14×5

= 22×28×5

= 110×28

=3080

Answer 2

Correct Question :

If the radius of a cylinder is 14 cm and the height is 5 cm then find volume of this cylinder. Take radius as (22/7).

Answer :

Volume of Cylinder is 3080 cm³.

Step-by-step explanation :

To Find,

• Volume of cylinder

Solution,

Given that,

• Radius of cylinder = 14cm

• Height of cylinder = 5cm

• π = 22/7

Figure,

Given that,

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5cm}}\put(4,17.5){\sf{14cm}}\end{picture}$

As we know that,

$\underline{\boxed{ \sf{ \red{Volume \: \: of \: \: Cylinder = \pi \: {r}^{2}h}}}}$

Therefore,

$\bf{Volume \: \: of \: \: Cylinder = \pi \: {r}^{2}h} \\ \\ \sf{ \longrightarrow \: \dfrac{22}{7} \times {(14)}^{2} \times 5} \\ \\ \sf{ \longrightarrow \: \dfrac{22}{7} \times \: 14 \times 14 \times 5} \\ \\ \sf{ \longrightarrow \: \dfrac{22}{ \cancel{7}} \times \cancel{14} \times 14 \times 5} \\ \\ \longrightarrow \: {\sf 22 \times 2 \times 14 \times 5} \\ \\ \longrightarrow \: \sf{44 \times 14 \times 5} \\ \\ \longrightarrow \: \sf {44 \times 70} \\ \\ \longrightarrow \: \bf {3080} \: \: \: \bigstar$

Hence, the volume of cylinder is 3080cm³.