Question

The total surface area of a solid circular cylinder is 660m square. If it's diameter of the base is 14cm find the height and curved surface area of the cylinder

Answer 1

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GIVEN:
Diameter= 14cm= radius *2

Radius= 14/2= 7cm

Total surface area of cylinder=660m= 66000cm²

FORMULA TO BE USED:
Total surface area of cylinder= 2∏r(h+r)

Curved surface area of cylinder=2∏rh

IMPLEMENTATION:

66000= 2∏r(h+r)

66000= ((2*22*7)(h+7))/7

66000= 44h+ 308

44h=66000-308

44h=65692

h=1493cm

Curved surface area of cylinder=2∏rh

= 2*22*7*1493/7

=65692cm²= 656.92m²