Q.
Find the approximate change in the volume V of a cube of side ‘x’ meters caused by increasing the side by 3%
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a
0.09 x3 m3
b
9 x3 m3
c
0.9 x3 m3
d
0.1 x3 m3
answer is A.
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Detailed Solution
Note that V=x3 dV=dVdxΔx =3x2Δx =3x2(0.03x) =0.09x3m3 Thus, the approximate change in volume is 0.09x3m3
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