# Warm up Notes Preliminary Activity Activit y For Fun Surface area of a cylinder.

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Warm up Notes Preliminary Activity Activit y For Fun Surface area of a cylinder

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Back Surface Area of a Cylinder A closed cylinder is made from two circular ends and a curved surface. This curved surface can be opened out into a rectangle. The are of each end of the cylinder is calculated using the area of a circle formula A = πr 2 T he area of the curved surface is calculated using the area of a rectangle formula A = 2πrh The surface area of a closed cylinder is SA = 2πr 2 + 2πrh

Back Example A closed can of baked beans has a base diameter of 7.4 cm and a height of 11 cm. a) What is the area of the label wrapped around the can if there is a 2 cm overlap? Answer to the nearest square centimetre. b) What area of metal makes up the can? Answer to the nearest square centimetre. Area of label = (2πr + 2)h = (2 x π x 3.7 + 2) x 11 = 277.7256... ≈ 278 cm 2 Total surface area isSA = 2πr 2 + 2πrh = 2 x π x 3.7 2 + 2 x π x 3.7 x 11 = 341.7424... ≈ 342 cm 2

Back Do Exercise 2.06 page 61 Questions 1 - 6

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