Question

The circumference of the base of a cylinder is 132 cm and its height 25 cm. find the volume of the cylinder.​

Answer 1

Correct Question:-

The circumference of the base of a cylinder is 132 cm and its height 25 cm. find the volume of the cylinder.

To Find :

The Volume of cylinder .

Explanation:-

we know the Value of π

$= 2\pi r$

So for better understanding

Circumference = 132 cm

In circle chapter We have learn a Value

$2 \times \frac{22}{7}$

Solution :

$circumference \: of \: base \: = 2\pi r \: \\ = 132 = 2 \times \frac{22}{7} \times r \: (r \: = \: radius) \\ r \: = 132 \times \frac{7}{2} \times 22 \\ r = 21$

$\: so \: value \: of \: cylinder \: = \pi r \: {}^{2} \times h \: (h = height \: ) \\ \frac{22}{7} \times 21 \times 21 \times 21 \\ = 34650$

Thanks!

Answer 2

$\underline{ \underline \bold{Given}}$

• Circumference of the base of a cylinder is 132 cm.

• Its height 25 cm.

$\underline{ \underline \bold{To \: find \: out }}$

Find the volume of the cylinder?

$\underline{ \underline \bold{Formula \: used }}$

$\boxed {\sf{Circumference = 2\pi \: r}}$

$\boxed {\sf{volume \: of \: cylinder = \pi {r}^{2} h}}$

$\underline { \underline \bold{Solution}}$

We have

• Circumference = 132 cm

• Height,h = 25 cm

Let r cm be the radius of the cylinder.

Then,

$\sf{Circumference = 132 cm} \: [ Given ]$

$\implies \: \sf{2\pi r = 132 }$

$\implies \sf {2 \times \dfrac{22}{7} \times r = 132}$

$\implies \sf{ \dfrac{44}{7} \times r = 132}$

$\implies \sf{ \: r = \dfrac{ \cancel{132} \times 7}{ \cancel{44}} }$

$\implies \sf{r = 3 \times 7}$

$\implies \sf{r = 21 \: cm}$

Now,

$\star \: \sf{Volume \: of \: the \: cylinder = \pi {r}^{2} h}$

$\rightarrow \: \dfrac{22}{7} \times {21}^{2} \times 25$

$\rightarrow \: \dfrac{22}{ \cancel7} \times \cancel{21} \times 21 \times 25$

$\rightarrow \: 22 \times 3 \times 21 \times 25$

$\rightarrow \: 22 \times 63 \times 25$

$\rightarrow \sf \: 34650 \: cm {}^{3}$

$\therefore \sf{ \: Volume \: of \: the \: cylinder \: is \: 34650 {cm}^{3} }$