2012 · Q71
For the next two questions: The areas of the ends of a frustum of a pyramid are P and Q where P < Q and H is its thickness. What is the difference in radii of the ends of the frustum?
Elementary MathematicsMensuration
- A(sqrt(Q) - sqrt(P))/sqrt(pi)
- B(sqrt(Q) - sqrt(P))/pi
- Csqrt(Q) - sqrt(P)
- DNone of the above
Explanation
Treating the ends as circles, r1 = sqrt(P/pi) and r2 = sqrt(Q/pi), so the difference is (sqrt(Q)-sqrt(P))/sqrt(pi).