Q1 of 67 Page 190

The diameter of a cylinder is 14 cm and its height is 15 cm. Calculate the total surface area and volume of the cylinder.

Diameter of cylinder = d = 14 cm


⇒ radius of cylinder = r = = = 7 cm


Height of cylinder = h = 15 cm


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


Total surface area of cylinder = 2πrh + 2πr2


= 2 × × 7 × 15 + 2 × × 72


= 30 × 22 + 2 × 22 × 7


= 660 + 308


= 968 cm2


Volume of cylinder = πr2h


= × 72 × 15


= 22 × 7 × 15


= 22 × 105


= 2310 cm3


Therefore, total surface area of cylinder is 968 cm2 and volume is 2310 cm3


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