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Mathematics
JAMB
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
Correct Answer:
24
Explanation
U ∝ 1/V
3
U = k/V
3
k = UV
3
k = 81 x 2
3
= 81 x 8 When V = 3, U = k/V
3
U = 81×8/3
3
U = 81×8/27 = 24
U ∝ 1/V
3
U = k/V
3
k = UV
3
k = 81 x 2
3
= 81 x 8 When V = 3, U = k/V
3
U = 81×8/3
3
U = 81×8/27 = 24
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