Question 23

The surface area of a sphere is 2464 cm2. Find its diameter (in cm).

Solution

Let radius of sphere = $$r$$ cm

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

=> $$4\times\frac{22}{7}\times(r)^2=2464$$

=> $$r^2=2464\times\frac{7}{88}$$

=> $$r^2=28\times7$$

=> $$r=\sqrt{7^2\times4}=14$$

$$\therefore$$ Diameter of sphere = $$2\times14=28$$ cm

=> Ans - (C)

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