SOLUTION: Given that P varies jointly as S and V^2,and that P=18 when S=9 and V=15.find V when S=81 and P=32

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Question 857501: Given that P varies jointly as S and V^2,and that P=18 when S=9 and V=15.find V when S=81 and P=32
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let k represent the constant of proportionality

 P = kSV^2

18= k9*225

18/2025 = k

 P/kS = V^2

32%2F%2818%2F225%2981 = V^2

32%2A225%2F%2818%2A81%29+=16%2A225%2F%289%2A81%29+ = V^2

V =+sqrt%2816%2A225%2F%289%2A81%29%29 = 60/27 = 20/9