Question:
The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
Solution:
The radius of largest sphere
$=\frac{h}{2}$
$=\frac{14}{2}$
$=7 \mathrm{~cm}$
Volume of sphere
$=\frac{4}{3} \pi r^{3}$
$=\frac{4}{3} \times \frac{22}{7} \times(7)^{3}$
$=1437.3 \mathrm{~cm}^{3}$
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