KVPY2013MathematicsBasics of Mathematics
Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p % (where p>0) . If the volume remains the same, then
Options
- A50 < p < 55
- B55 < p < 60
- C60 < p < 65
- D65 < p < 70
Correct answer
C. 60 < p < 65
Step-by-step solution
1 3 (x² ) y= 1 3 x² ( 100+p 100 )² ( 100-p 100 ) p²+100 p-100²=0p= 12500 -5060 < p < 65