Question

I am trying to find the volume of a quarter sphere. Can anyone tell me how to calculate this?

Answer 1

volume of full sphere is

\[\Large V = \frac{4}{3}\pi*r^3\]

Answer 2

Multiply both sides by 1/4
\[\Large V = \frac{4}{3}\pi*r^3\]
\[\Large \frac{1}{4}*V = \frac{1}{4}*\frac{4}{3}\pi*r^3\]
\[\Large \frac{1}{4}*V = \frac{1}{\cancel{4}}*\frac{\cancel{4}}{3}\pi*r^3\]
\[\Large \frac{1}{4}*V = \frac{1}{3}\pi*r^3\]

Answer 3

So the volume of a quarter-sphere is
\[\Large \frac{1}{3}\pi*r^3\]