A rectangular sheet of paper 40cm×22cm is rolled to form a hollow cylinder of height 40 cm. find its volume
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h = 40 cm
when the sheet is rolled 22 cm becomes the circumference of the base circles.
circumference = 22 cm
2 π r = 22 cm
2×22/7×r = 22 cm
r = 22×1/2×7/22
r = 7/2
r = 3.5
Now we got the radius as 3.5 cm.
volume of a cylinder = π r² h
= 22/7 × 3.5 × 3.5 × 40
= 1540 cm³
Therefore volume of the cylinder = 1540 cm³
when the sheet is rolled 22 cm becomes the circumference of the base circles.
circumference = 22 cm
2 π r = 22 cm
2×22/7×r = 22 cm
r = 22×1/2×7/22
r = 7/2
r = 3.5
Now we got the radius as 3.5 cm.
volume of a cylinder = π r² h
= 22/7 × 3.5 × 3.5 × 40
= 1540 cm³
Therefore volume of the cylinder = 1540 cm³
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