Question on: JAMB Mathematics - 2012
U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3
A
24
B
27
C
32
D
36
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Correct Option: A
U (\alpha \frac{1}{V^3})
U = (\frac{k}{V^3})
k = UV3
k = 81 x 23 = 81 x 8
When V = 3,
U = (\frac{k}{V^3})
U = (\frac{81 \times 8}{3^3})
U = (\frac{81 \times 8}{27}) = 24
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