Question

A regular sheet of metal has length 44cm and breath 10cm .it is folded a cylinder with breath becoming the height. Calculate 1.The radius of the cylinder 2.The volume of the cylinder (π=22÷7)

Answer 1

✬ Radius = 7 cm ✬

✬ Volume = 1540 cm³ ✬

Step-by-step explanation:

Given:

• Length and breadth of rectangular sheet of metal is 44 and 10 cm respectively.
• Sheet is folded along with breadth such that breadth became height of cylinder.

To Find:

• What is radius and volume of cylinder?

Solution: If a rectangular sheet is folded along its length into a cylinder then it's length will be circumference base of cylinder.

Now,

★ Circumference of Cylinder = 2πr ★

➫ 2πr = 44

➫ 2 $\times$ 22/7 $\times$ r = 44

➫ 44r/7 = 44

➫ r = 44(7)/44

➫ r = 7 cm

So, the meaure of radius of cylinder is 7 cm and height is 10 cm.

[ Finding volume ]

★ Volume of Cylinder = πr²h ★

$\implies{\rm }$ 22/7 $\times$ 7² $\times$ 10

$\implies{\rm }$ 22 $\times$ 7 $\times$ 10

$\implies{\rm }$ 1540 cm³

Hence, Volume of Cylinder is 1540 cm³.

Answer 2

$\mathfrak{\huge{\underline{\underline{\red{Correct\:Question\:?}}}}}$

◼ A regular sheet of metal has length 44cm and breadth 10cm . It is folded a cylinder with breath becoming the height. Calculate 1.The radius of the cylinder 2.The volume of the cylinder (π=22÷7)

$\mathcal{\huge{\fbox{\green{AnSwEr:-}}}}$

• The radius of the cylinder = 7cm.

• The volume of the cylinder = 1540cm³

$\mathcal{\huge{\fbox{\purple{Solution:-}}}}$

Given :-

• Length = 44 cm
• Breadth = 10 cm

The cylinder is folded with breath becoming the height. So, h = 10 cm.

• Take π = 22/7

To Find :-

• The radius of the cylinder

• The volume of the cylinder.

Calculation :-

We know that Circumference of Cylinder = 2πr

➡ 2πr = 44

➡ 2 × 22/7 × r = 44

➡ 44/7 r = 44

➡ r = 44 × 7/44

➡ r = 7 cm

So, the meaure of radius of cylinder is 7 cm and height is 10 cm.

We know that, Volume of Cylinder = πr²h

➡ πr²h

➡ 22/7 × 7× 7× 10

➡ 22 × 7 × 10

➡ 154 × 10

Volume of Cylinder ➡ 1540cm³

So, The Volume of Cylinder is 1540 cm³.

__________________________________