Question

The circumference of base of cylinder is 132 cm . Its height is 25 cm . What is its volume ?

Answer 1

Answer:

34650 Cm³

Step-by-step explanation:

Given----> Circumference of base of cylinder is 132 Cm and its height is 25 Cm

To find ----> Volume of cylinder

Solution-----> Let , radius and height of cylinder be r and h .

ATQ, Circumference of base of cylinder = 132 Cm

=> 2 π r = 132

=> 2 ( 22/7 ) × r = 132

=> r = 132 × 7 / 44

=> r = 3 × 7

=> r = 21

ATQ, height of cylinder = 25 Cm

We know that ,

Volume of cylinder = π r² h

= ( 22/7 ) ( 21 )² ( 25 )

= ( 22/7 ) × 21 × 21 × 25

= 22 × 3 × 21 × 25

= 66 × 525

= 34650 Cm³

Answer 2

AnswEr :

$\bf{\green{Given}\begin{cases}\sf{The\:circumference\:of\:base\:of\:cylinder\:=\:132\:cm}\\ \sf{Height\:of\:cylinder\:(h)\:=\:25\:cm}\end{cases}}$

$\bf{\Large{\underline{\sf{To\;find\::}}}}$

The volume of cylinder.

$\bf{\large{\underline{\rm{\red{Explanation\::}}}}}$

Formula use :

$\bf{\large{\boxed{\sf{Circumference\:of\:circle\:=\:2\pi r}}}}}$

$|\hookrightarrow\tt{2\pi r=132\:cm}\\\\\\|\hookrightarrow\tt{2\times\dfrac{22}{7} \times r=132}\\\\\\|\hookrightarrow\tt{\dfrac{44}{7} \times r=132}\\\\\\|\hookrightarrow\tt{r\:=\:\dfrac{\cancel{132}*7}{\cancel{44}} }\\\\\\|\hookrightarrow\tt{r\:=\:(3*7)cm}\\\\\\|\hookrightarrow\tt{\red{r\:=\:21\:cm}}$

Now,

Formula use :

$\bf{\large{\boxed{\sf{Volume\:of\:cylinder\:=\:\pi r^{2}h }}}}}$

$\longmapsto\sf{Volume\:=\:\bigg[\dfrac{22}{7} *(21)^{2} *25\bigg]cm^{3} }\\\\\\\\\longmapsto\sf{Volume\:=\:\bigg[\dfrac{22}{\cancel{7}} *\cancel{21}*21*25\bigg]cm^{3} }\\\\\\\\\longmapsto\sf{Volume\:=\:\bigg[22*3*21*25\bigg]cm^{3}} \\\\\\\\\longmapsto\sf{\red{Volume\:=\:34650\:cm^{3} }}$

Thus,

$\bigstar$ The volume of cylinder is 34650 cm³.