Question 58

The surface area of a sphere is 2464 $$cm^{2}$$. Find the radius of the sphere. [Use $$\pi = \frac{22}{7}$$]

Solution

The surface area of a sphere is 2464 $$cm^{2}$$.

surface area of a sphere = $$4\times\ \pi\ \times\left(radius\right)^2$$

$$2464=4\times\frac{22}{7}\times\left(radius\right)^2$$

$$28=\frac{1}{7}\times\left(radius\right)^2$$

$$196=\left(radius\right)^2$$

Radius of the sphere = 14 cm

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