Question

The area of the base of a right circular cylinder is 616 cm2 and its height is 2.5 cm. Find the curved surface area of the cylinder​

Answer 1

Curved surface area of the cylinder​ is 219.8 square centimeter

Solution:

The curved surface area of cylinder is given as:

$CSA = 2 \pi r h$

Where, r is the radius and h is the height

Given that,

height = 2.5 cm

Area of the base of a right circular cylinder is 616 $cm^2$

Since base is circular,

$Area = \pi r^2\\\\616 = 3.14 \times r^2\\\\r^2 = \frac{616}{3.14}\\\\r^2 = 196.178\\\\Take\ square\ root\ on\ both\ sides\\\\r = 14.006 \approx 14$

Therefore, curved surface area of cylinder is:

$CSA = 2 \times 3.14 \times 14 \times 2.5\\\\CSA = 87.92 \times 2.5\\\\CSA = 219.8$

Thus curved surface area of the cylinder​ is 219.8 square centimeter

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