a rectangular sheet of metal foil with dimensions 66 cm by 12 cm is rolled to form a cylinder of height 12 cm. find the volume of the cylinder
Answers
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Length of metal sheet = 66 cm
Width of sheet = 12 cm
Now the metal sheet is in the form of cylinder. Here height of the cylinder is also 12 cm. Now 66 cm is to be considered as circumference of the base of the cylinder.
circumference of the base of the cylinder = 66 cm
= 2 Π r = 66
= 2 x (22/7) x r = 66
r = 66 x (1/2) x (7/22)
r = 3 x (1/2) x (7)
r = 21/2
r = 10.5 cm
Volume of the right circular cylinder = Π r² h
= (22/7) x (10.5)² x 12
= (22/7) x (10.5) x(10.5) x 12
= (22) x (1.5) x (10.5) x 12
= 4158 cm³
Volume of the the right circular cylinder = 4158 cm³
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hope it helps
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omkara2