Question

13. 22.mx 10
m rectangular sheet of
iron rolled towards its
length and formed a cylindrical
p




ipe. find the volume of pipe.​

Answer 1

Correct Question:

22 m × 10 m rectangular sheet of iron rolled towards its length and formed a cylindrical pipe. Find the volume of pipe.

Given:

✰ A rectangular sheet of iron rolled towards its length and formed a cylindrical pipe.

✰ Length of the rectangular sheet of iron = 20 m

✰ Breadth of the rectangular sheet of iron = 10 m

To find:

✠ The volume of a cylindrical pipe.

Solution:

Let's understand the concept first!

• We know that the rectangular sheet of iron rolled towards its length to form a cylindrical pipe which means that the length of the rectangular sheet becomes the height of the cylindrical pipe,
• and the breadth of the rectangular sheet of iron becomes the circumference of the base of the cylinder.
• By using formula of circumference of base of cylinder, we will find the radius and we already have the height.
• After that by using the formula of of volume of cylinder, putting the values in the formula and then doing the required calculations, we will find the volume of the cylindrical pipe.

Let's find out...✧

➛ Height of a cylindrical pipe = 22 m [ ∵ As a rectangular sheet of iron rolled towards its length to form a cylindrical pipe. ]

➛ Circumference of the base of a cylindrical pipe = 10 m

➛ 2πr = 10

➛ 2 × 22/7 × r = 10

➛ r = 10 × 7/22 × 1/2

➛ r = 5 × 7/22

➛ r = 35/22 m

✭ Volume of the cylinder = πr²h ✭

Here,

• r is the radius of the cylindrical pipe.
• h is the height of the cylindrical pipe.

Putting the values in the formula, we have:

➤ Volume of a cylindrical pipe = 22/7 × ( 35/22 )² × 22

➤ Volume of a cylindrical pipe = 22/7 × 35/22 × 35/22 × 22

➤ Volume of a cylindrical pipe = 1/7 × 35 × 35

➤ Volume of a cylindrical pipe = 5 × 35

➤ Volume of a cylindrical pipe = 175 cm³

∴ The volume of a cylindrical pipe = 175 cm³

_______________________________

Answer 2

Answer:

Correct Question:

22 m × 10 m rectangular sheet of iron rolled towards its length and formed a cylindrical pipe. Find the volume of pipe.

Given:

✰ A rectangular sheet of iron rolled towards its length and formed a cylindrical pipe.

✰ Length of the rectangular sheet of iron = 20 m

✰ Breadth of the rectangular sheet of iron = 10 m

To find:

✠ The volume of a cylindrical pipe.

Solution:

Let's understand the concept first!

We know that the rectangular sheet of iron rolled towards its length to form a cylindrical pipe which means that the length of the rectangular sheet becomes the height of the cylindrical pipe,

and the breadth of the rectangular sheet of iron becomes the circumference of the base of the cylinder.

By using formula of circumference of base of cylinder, we will find the radius and we already have the height.

After that by using the formula of of volume of cylinder, putting the values in the formula and then doing the required calculations, we will find the volume of the cylindrical pipe.

Let's find out...✧

➛ Height of a cylindrical pipe = 22 m [ ∵ As a rectangular sheet of iron rolled towards its length to form a cylindrical pipe. ]

➛ Circumference of the base of a cylindrical pipe = 10 m

➛ 2πr = 10

➛ 2 × 22/7 × r = 10

➛ r = 10 × 7/22 × 1/2

➛ r = 5 × 7/22

➛ r = 35/22 m

✭ Volume of the cylinder = πr²h ✭

Here,

r is the radius of the cylindrical pipe.

h is the height of the cylindrical pipe.

Putting the values in the formula, we have:

➤ Volume of a cylindrical pipe = 22/7 × ( 35/22 )² × 22

➤ Volume of a cylindrical pipe = 22/7 × 35/22 × 35/22 × 22

➤ Volume of a cylindrical pipe = 1/7 × 35 × 35

➤ Volume of a cylindrical pipe = 5 × 35

➤ Volume of a cylindrical pipe = 175 cm³

∴ The volume of a cylindrical pipe = 175 cm³

_______________________________

Step-by-step explanation:

Hope this answer will help you.✌️