7.
A rectangular sheet of paper is rolled along its length to make a cylinder. The
sheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to the
bottom of the cylinder formed. Find the capacity of cylinder so formed.
Answers
Answer:
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Step-by-step explanation:
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.
Solution :-
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.
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