Given :-
- A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form a cylinder.
To Find :-
- Difference between volume
Solution :-
At first
Way 1
Let's take height as breadth and Length as circumference
35 = 2 × 22/7 × r
35 × 7 = 2 × 22 × r
245 = 44r
245/44 = r
4.5 cm ≈ r
Now,
Volume = πr²h
Volume = 22/7 × 5.5² × 28
Volume = 22/7 × 30.25 × 28
Volume = 22 × 30.25 × 4
Volume = 2662 cm²
Way 2
Lets take Length as height and Breadth as circumference
28 = 2 × 22/7 × r
28/2 = 22/7 × r
14 = 22/7 × r
14 × 7/22 = r
4.4 = r
Now,
Volume = πr²h
Volume = 22/7 × 4.4² × 35
Volume = 22/7 × 19.36 × 35
Volume = 22 × 19.36 × 5
Volume = 2130 cm²
Now,
Difference = 2662 - 2130
Difference = 532 cm
Formula Used Here :-
[tex]\large \sf Circumference = 2 \pi r \\\\ \large \sf Volume = \pi {r}^{2} h\\\\ \large \sf Difference = V_1 - V_2[/tex]
Know More :-
Area of Circle = πr²
TSA of cuboid = 2(lb + bh + lh)
CSA of cuboid = 2h(l + b)
