Q1 of 12 Page 110

In each example given below, the radius of the base of a cylinder and its height are given. Then find the curved surface area and total surface area.

(1) r = 7 cm, h = 10 cm


(2) r = 1.4 cm, h = 2.1 cm


(3) r = 2.5 cm, h = 7 cm


(4) r = 70 cm, h = 1.4 cm


(5) r = 4.2 cm, h = 14 cm


Curved surface area of cylinder(CSA) = 2πrh


Total surface area of cylinder(TSA) = 2πr(h+r)


1. r = 7 cm, h = 10 cm


CSA = 2πrh


= 2 × 3.14 × 7 × 10


= 440 cm2


TSA = 2πr(h+r)


= 2 × 3.14 × 7(10+7)


= 748 cm2


2. r = 1.4 cm, h = 2.1 cm


CSA = 2πrh


= 2 × 3.14 × 1.4 × 2.1


= 18.48 cm2


TSA = 2πr(h+r)


= 2 × 3.14 × 1.4(2.1+1.4)


= 30.8 cm2


3. r = 2.5 cm, h = 7 cm


CSA = 2πrh


= 2 × 3.14 × 2.5 × 7


= 110 cm2


TSA = 2πr(h+r)


= 2 × 3.14 × 2.5(7+2.5)


= 149.29 cm2


4. r = 70 cm, h = 1.4 cm


CSA = 2πrh


= 2 × 3.14 × 70 × 1.4


= 616 cm2


TSA = 2πr(h+r)


= 2 × 3.14 × 70(70+1.4)


= 31416 cm2


5. r = 4.2 cm, h = 14 cm


CSA = 2πrh


= 2 × 3.14 × 4.2 × 14


= 369.6 cm2


TSA = 2πr(h+r)


= 2 × 3.14 × 4.2(4.2+14)


= 480.48 cm2


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