Question

Snehasinde.Calculate the volume of a cone with radius 14m and height 6m.

Answer 1

Given :

• Radius of a cone = 14 m

• Height of a cone = 6 m

To find :

• Volume of the cone

Concept :

Here, we have to find the volume of the cone. So, by substituting the given values and after doing the required calculations. We will get our required answer.

The commonly used unit of volume are m³ and cm³.

Formula to calculate volume of cone :-

• Volume of cone = ⅓ × πr²h

where,

• r denotes the radius of the cone

• h denotes the height of the cone

• Take π = 22/7

Figure :

$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{r = 14}}\put(9.5,10){\sf{h = 6}}\end{picture}$

Solution :

Volume of cone :-

→ Volume of cone = ⅓ × πr²h

→ Volume of cone = ⅓ × 22/7 × (14)² × 6

→ Volume of cone = ⅓ × 22/7 × 14 × 14 × 6

→ Volume of cone = 22/7 × 14 × 14 × 2

→ Volume of cone = 22 × 2 × 14 × 2

→ Volume of cone = 1232

Therefore, volume of the cone = 1232 m³