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

i. r = 2.5 cm, h = 7 cm 

ii. r = 70 cm, h = 1.4 cm

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i. Given: r = 2.5 cm and h = 7 cm

To find: Curved surface area of cylinder and total surface area

Curved surface area of the cylinder = 2πrh

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

= 149.29 sq.cm

∴ The curved surface area of the cylinder is 110 sq.cm and its total surface area is 149.29 sq.cm.

ii. Given: r = 70 cm and h = 1.4 cm

To find: Curved surface area of cylinder and total surface area

Curved surface area of the cylinder = 2πrh

= 2 x \(\cfrac{22}{7} \)x 70 x 1.4

= 2 x 22 x 10 x 1.4

= 616 sq.cm

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

= 2 x \(\cfrac{22}{7} \) x 70(1.4 + 70)

= 2 x \(\cfrac{22}{7} \) x 70 x 71.4

= 2 x 22 x 10 x 71.4

= 2 x 22 x 714

= 31416 sq.cm

∴ The curved surface area of the cylinder is 616 sq.cm and its total surface area is 31416 sq.cm.

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