Question

The radius and height of a cylinder are in the ratio 2:7. If the volume of the cylinder is 704 cm3 , find the surface area of the cylinder.

Answer 1

Answer:

FORMULA FOR VOLUME OF CYLINDER = pi Xr^2 Xh

Let the height be 2x

Radius = 7x

Volume = pi X 49x^2 X 2x = 3.14 X 98x^3 = 8316

x^3 = 8316 / 3.14*98 = 27.024567 cm

x = 3 cm

HEIGHT = 6 cm Radius = 21 cm

FORMULA FOR TOTAL SURFACE AREA = 2pirh + 2pir^2

= 2pir (r + h)

= 2 X 3.14 X 21 X 27 = 3560.76 cm^2

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