Question 129
A solid sphere and a hemisphere have the same radius. Then the ratio of their respective total surface areas is
Solution
Let the common radius be "r" units
area of sphere = 4$$\pi r^2$$
area of hemi-sphere = 2$$\pi r^2$$ + $$\pi r^2$$ = 3$$\pi r^2$$
$$\frac{\text{Area of Sphere}}{\text{Area of Hemisphere}}$$ = $$\frac{4\pi r^2}{ 3\pi r^2}$$
= $$\frac{4}{3}$$
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