Q2 of 67 Page 190

The height of a right circular cylinder is 7 cm and radius of its base is 3 cm. Find the curved surface area, total surface area and volume of the cylinder.

Height of cylinder = h = 7 cm


Radius of base of cylinder = r = 3 cm


Curved surface area of cylinder = 2πrh


= 2 × × 3 × 7


= 6 × 22


= 132 cm2


Total surface area will be the sum of the curved surface area and the area of two circles flat surfaces


Total surface area of cylinder = 132 + 2πr2


= 132 + 2 × 3.14 × 32


= 132 + 6.28 × 9


= 132 + 56.52


= 188.52 cm2


Volume of cylinder = πr2h


= × 32 × 7


= 9 × 22


= 198 cm3


Therefore, curved surface area of cylinder is 132 cm2, total surface area is 188.52 cm2 and volume is 198 cm3


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