Question

a rectangular piece of paper 11cm×4cm is foided with out lapping to make a cylinder of height 4cm find the volume of the cylinder​

Answer 1

Given:

✰ A rectangular piece of paper dimensions 11 cm × 4 cm respectively is folded without overlapping to make a cylinder of height 4 cm.

To find:

✠ The volume of the cylinder.

Solution:

Let's understand the concept first! We know that the rectangular piece of paper dimensions 11 cm × 4 cm respectively is folded without overlapping to make a cylinder of height 4 cm. Now, here in the question the length of the rectangular piece of paper becomes the circumference of the base of the cylinder and breadth of the rectangular piece of people becomes the height. Thus, by using the formula to calculate circumference of the base of the circle, we will find radius. After finding radiu,s we can calculate the volume of cylinder by using its formula, putting the values in the formula and doing required calculations.

Let radius of a cylinder be r cm, and

height of a cylinder be h cm

➛ Circumference of the base of a cylinder = Length of the rectangular piece of paper

➛ 2πr = 11

➛ 2 × 22/7 × r = 11

➛ 44/7 × r = 11

➛ r = 7×11/44

➛ r = 7/4

∴ The radius of a cylinder = 7/4 cm

Now,

✭ Volume of a cylinder = πr²h ✭

➤ Volume of a cylinder = 22/7 × (7/4)² × 4

➤ Volume of a cylinder = 22/7 × 7/4 × 7/4 × 4

➤ Volume of a cylinder = 22 × 1/4 × 7/4 × 4

➤ Volume of a cylinder = 22/4 × 7/4 × 4

➤ Volume of a cylinder = 616/16

➤ Volume of a cylinder = 38.5 cm³

∴ The volume of the cylinder = 38.5 cm³

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Answer 2

Given:

✰ A rectangular piece of paper dimensions 11 cm × 4 cm respectively is folded without overlapping to make a cylinder of height 4 cm.

To find:

✠ The volume of the cylinder.

Solution:

Let's understand the concept first! We know that the rectangular piece of paper dimensions 11 cm × 4 cm respectively is folded without overlapping to make a cylinder of height 4 cm. Now, here in the question the length of the rectangular piece of paper becomes the circumference of the base of the cylinder and breadth of the rectangular piece of people becomes the height. Thus, by using the formula to calculate circumference of the base of the circle, we will find radius. After finding radiu,s we can calculate the volume of cylinder by using its formula, putting the values in the formula and doing required calculations.

Let radius of a cylinder be r cm, and

height of a cylinder be h cm

➛ Circumference of the base of a cylinder = Length of the rectangular piece of paper

➛ 2πr = 11

➛ 2 × 22/7 × r = 11

➛ 44/7 × r = 11

➛ r = 7×11/44

➛ r = 7/4

∴ The radius of a cylinder = 7/4 cm

Now,

✭ Volume of a cylinder = πr²h ✭

➤ Volume of a cylinder = 22/7 × (7/4)² × 4

➤ Volume of a cylinder = 22/7 × 7/4 × 7/4 × 4

➤ Volume of a cylinder = 22 × 1/4 × 7/4 × 4

➤ Volume of a cylinder = 22/4 × 7/4 × 4

➤ Volume of a cylinder = 616/16

➤ Volume of a cylinder = 38.5 cm³

∴ The volume of the cylinder = 38.5 cm³

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