The curved surface area of a sphere is 9856 cm², find its diameter in m.

Correct option is D

Given:

Curved surface area of the sphere = 9856 cm²

Formula Used:

Surface area of a sphere = $$4\pi r^2$$​​

​Solution: 

Using formula;

​$$4\pi r^2 = 9856 \\ \ \\r^2 = \frac{9856}{4\pi}\\ \ \\r^2 = \frac{2464 \times 7}{22} = 784\\ \ \\r = \sqrt{784} = 28 , \text{cm}$$​​

Diameter, d = $$2 \times 28 = 56 \ cm = 0.56 \ m$$​​

Thus, the diameter of the sphere is 0.56 meters.