Question 42
If a right circular cylinder of height 14 $$cm$$ is inscribed in a sphere of radius 8 $$cm$$, then the volume of the cylinder is:
Solution
The radius of sphere is 8 $$cm$$. Then applying Pythagoras, the radius of base of cylinder is $$\sqrt{15}$$ $$cm$$
The height of cylinder is given as 14 $$cm$$. Volume of cylinder is $$\pi$$ $$r^{2}$$h
$$\frac{22}{7}$$* 15*14 = 660 $$cm^3$$
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