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Mathematics

Grade9

Easy

Question

Find the surface area.

60.4 m²
188.4 m²
94.2 m²
881.9 m²

hint Hint:

The surface area of a cylinder can be defined as the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The total surface area of the cylinder has two components - a curved surface area and two flat surface areas.

The correct answer is: 188.4 m²

The total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area:
Total surface area = base area + lateral area
$bold italic A bold space bold equals bold space bold 2 straight pi straight r to the power of bold 2 bold space bold plus bold space bold 2 straight pi rh bold A bold space bold equals bold space bold 2 straight pi straight r bold left parenthesis bold r bold space bold plus bold space bold h bold right parenthesis$

where r =radius of cylinder and h = height of cylinder

From the above figure r = 3m and h = 7m
Surface area = 2 $straight pi$ $cross times$ 3 ( 3 + 7) $m squared$
Surface area = 60 $straight pi$ $m squared$ ( take $straight pi$ = 3.14)
Thus, Surface area = $188.4 space m squared$

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