Question

Find the capacity of a cylindrical container whose internal radius is 14cm and a height of 12cm.​

Answer 1

Given:-

• Radius of cylindrical container ,r = 14cm

• Height of cylindrical container ,h = 12cm

To Find:-

• Volume of cylindrical container ,V.

Solution:-

We have to calculate the capacity of cylindrical container.

Using this formula

• V = πr²h

Substitute the value we get

→ Volume of Container = 22/7 × 14² ×12

→ Volume of Container = 22/7 × 196 ×12

→ Volume of Container = 22 × 28 ×12

→ Volume of Container = 7392 cm³

Therefore, the capacity of cylindrical container is 7392 cm³.

Answer 2

Diagram:-

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{r}}\put(9,17.5){\sf{h}}\end{picture}$

Given:-

In a Cylinder

radius=r=14cm

height=h=12cm

To find:-

Capacity of container =Volume=v

Solution:-

As we know that in a Cylinder

${\boxed{Volume={\pi}{r}^{2}h}}$

• Substitute the values

${:}\longrightarrow$$\sf {Volume={\dfrac {22}{7}}×{14}^{2}×12}$

${:}\longrightarrow$$\sf {Volume={\dfrac {22}{{\cancel{7}}}}×{\cancel{196}}×12}$

${:}\longrightarrow$$22×28×12$

${:}\longrightarrow$${\underline{\boxed {\bf {Volume=7392cm {}^{3}}}}}$