. A rectangular sheet of paper of length 35 cm and breadth 28 cm is folded in two ways to form a cylinder. Find
the difference in the volumes of cylinders formed.
Answers
Step-by-step explanation:
answer is in the picture
Answer:
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
Step-by-step explanation:
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