Question

5. A rectangular piece of paper of length
44 cm and breadth 20 cm is to be rolled
along its length, to form a right circular
cylinder. Find the volume of the cylinder
formed​

Answer 1

Answer:

Step-by-step explanation:

We know that the curved surface area of a right circular cylinder with radius r and height h is CSA=2πrh.

It is given that the length of the rectangular sheet is l=44 cm and the height of the sheet is h=20 cm. Since the cylinder is formed among the length, therefore, length of rectangular sheet is equal to circumference of base that is:

l=2πr

⇒44=2×

7

22

​

×r

⇒r=

2×22

44×7

​

=7

Therefore, the radius of the rectangular sheet is 7 cm.

We also know that the volume of a right circular cylinder with radius r and height h is V=πr

2

h.

Here, the height is h=20 cm and the radius is r=7 cm, therefore,

V=πr

2

h=

7

22

​

×(7)

2

×20=

7

22

​

×49×20=3080 cm

3

Hence, the volume of the cylinder is 3080 cm

3

.

Answer 2

Step-by-step explanation:

lol It was just a joke