What is the difference in radii of the ends of the frustum?

Given that,

Area of first end = \( \Large \pi r^{2} \)

and area of second end = \( \Large \pi R^{2} \)


Given, P < Q

=> \( \Large r = \sqrt{\frac{P}{ \pi }} \ and \ R = \sqrt{\frac{Q}{ \pi }} \)

Difference in radii of the ends of the frustum = R - r

= \( \Large \sqrt{\frac{Q}{ \pi }} - \sqrt{\frac{P}{ \pi }} = \frac{\sqrt{Q} - \sqrt{P}}{\sqrt{ \pi }} \)