A rectangular piece of paper of width 20 cm and
length 44cm is rolled along its width
to form a cylinder
what is the C.S.A. Of the cylinders
please answer fast
Answers
Given
A rectangular piece of paper of width 20 cm and length 44cm is rolled along its width to form a cylinder.
Find out
Curved surface area of the cylinder
Solution
When rectangular piece of paper rolled along its width to form cylinder then,
➡ Length of rectangle = circumference of base of cylinder = 44cm
➡ Breadth of rectangle = height of cylinder = 20 cm
Now, curved surface area of cylinder
➡ 2πrh
➡ circumference of base × height
➡ 44 × 20
➡ 880cm²
Additional Information
- Volume of cylinder = πr²h
- T.S.A of cylinder = 2πrh + 2πr²
- Volume of cone = ⅓ πr²h
- C.S.A of cone = πrl
- T.S.A of cone = πrl + πr²
- Volume of cuboid = l × b × h
- C.S.A of cuboid = 2(l + b)h
- T.S.A of cuboid = 2(lb + bh + lh)
- C.S.A of cube = 4a²
- T.S.A of cube = 6a²
- Volume of cube = a³
- Volume of sphere = 4/3πr³
- Surface area of sphere = 4πr²
- Volume of hemisphere = ⅔ πr³
- C.S.A of hemisphere = 2πr²
- T.S.A of hemisphere = 3πr²
Given:
- Length of rectangular paper = 44cm
- Breadth = 20cm
- It is rolled in the form of cylinder
To find:
- C.S.A of cylinder
Solution:
We know that
C.S.A = 2πrh = circumference of base × height
Because , 2πr = Circumference of circle & h = height.
Labelling the formula
- C.S.A : Curved surface area
- r : radius of cylinder
- h : height of cylinder
Here , circumference of base = length of rectangular paper & Height = breadth of rectangular paper . Since , the rectangular paper is rolled
→ 44 × 20
→ 880 cm². [ answer]