Question

A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form
a cylinder by making the opposite edges just to touch each other. The volume of the
cylinder is


explanation pls..​

Answer 1

GIVEN:-

• $\rm{Length\:of\:Sheet = 12cm}$

• $\rm{Breadth\:of\:Sheet = 5cm}$

TO FIND:-

• The Volume of Cylinder.

FORMULAE USED

• ${\huge{\boxed{\rm{ \pi r^2h}}}}$

CONCEPT USED

• When the sheet is rolled then the breadth of the Rectangular sheet becomes the height of the Cylinder and length become the Circumference of the base of Cylinder.

Therefore,

$\implies\rm{ 2\pi r = 12}$

$\implies\rm{ 2\times{\dfrac{22}{7}}\times{r} = 12}$

$\implies\rm{\dfrac{44r}{7} = 12}$

$\implies\rm{ 44r = 84}$

$\implies\rm{ r = \dfrac{84}{44}}$

$\implies\rm{ r = \dfrac{21}{11}}$

Now,

$\implies\rm{Volume\:of\:Cylinder= \pi r^2h}$

$\implies\rm{Volume\:of\:cylinder = \dfrac{22}{7}\times{\dfrac{21}{11}}\times{\dfrac{21}{11}}\times{5}}$

$\implies\rm{ Volume\:of\:cylinder =22\times{\dfrac{3}{11}}\times{\dfrac{21}{11}}\times{5}}$

$\implies\rm{Volume\:of\:cylinder = \dfrac{6930}{22}}$

$\implies\rm{Volume\:of\:cylinder = 315cm^3}$.

Hence, The Volume of Cylinder is 315cm³.

Answer 2

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➡ Given:-

✏ Length of sheet = 12cm

✏ Breadth of sheet = 5cm

➡ To Find:-

✏ Volume of cylinder.

➡ Formulae Used:-

✏ πr²h

➡ Concept used:-

✏ When the sheet is rolled then the breadth of the Rectangular sheet becomes the height of the Cylinder and length become the Circumference of the base of Cylinder.

Therefore,

----> 2πr = 12

----> 2× 22/7×r = 12

----> 44r/7 = 12

----> 44r = 84

----> r = 84/44

----> r = 21/11

Now,

----> Volume of cylinder = πr²h

= 22/7× 21/11× 5

= 22× 3/11 × 21/11 × 5

= 6930/22

= 315cm³

Hence, The Volume of Cylinder is 315cm³.

HOPE IT HELP YOU