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 the cylinder formed
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Answered by
78
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.
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.
Answered by
24
Answer:
length is know as the circumference because it is along with length . height =32
so, 2*22/7*r=33
=r=21/4
volume =22/7*r*r*h
=22/7*21/4*21/4*32
=2772 cubic cm
so, capacity of the cylinder is 2772 cubic CM.
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