A rectangular sheet of paper is rolled along its length to make a cyli

1.	A rectangular sheet of paper is rolled along its length to make a cylinder. Thesheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to thebottom of the cylinder formed. Find the capacity of cylinder so formed.
Answer» Given : Length of the rectangular sheet = 33 cm And, Width of the rectangular sheet = 32 cm As we know that, length of the rectangular sheet = circumference of the circle Circumference of the circle = 2πr ⇒ 33 cm = 222/7r ⇒ r = (337)/(222) ⇒ r = 231/44 ⇒ r = 5.25 cm Capacity or volume of the cylinder =πr²h ⇒ 22/75.255.2532 ⇒ 22/727.5625*32 ⇒ 19404/7 ⇒ 2772 cm³ Hence, the capacity or the volume of the cylinder is 2772 cm³.

A rectangular sheet of paper is rolled along its length to make a cylinder. Thesheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to thebottom of the cylinder formed. Find the capacity of cylinder so formed.

Answer»

Given : Length of the rectangular sheet = 33 cm

And, Width of the rectangular sheet = 32 cm

As we know that,

length of the rectangular sheet = circumference of the circle

Circumference of the circle = 2πr

⇒ 33 cm = 2*22/7*r

⇒ r = (33*7)/(22*2)

⇒ r = 231/44

⇒ r = 5.25 cm

Capacity or volume of the cylinder =πr²h

⇒ 22/7*5.25*5.25*32

⇒ 22/7*27.5625*32

⇒ 19404/7

⇒ 2772 cm³

Hence, the capacity or the volume of the cylinder is 2772 cm³.