Q.
If the side of a cube is increasing at the rate of 2 units per secthen the rate of change in its volume when side is 6 units is
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a
25 cubic units per sec
b
216 cubic units per sec
c
100 cubic units per sec
d
2.5 cubic units per sec
answer is B.
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Detailed Solution
dxdt=2, x=6 volume v=x3 dvdt=3x2dxdt =3×36×2 = 216
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