Q. 14.8( 5 Votes )

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

Answer :

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 + 2πr^{2}

= 2 × × 7 × 15 + 2 × × 7^{2}

= 30 × 22 + 2 × 22 × 7

= 660 + 308

= 968 cm^{2}

Volume of cylinder = πr^{2}h

= × 7^{2} × 15

= 22 × 7 × 15

= 22 × 105

= 2310 cm^{3}

Therefore, total surface area of cylinder is 968 cm^{2} and volume is 2310 cm^{3}

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