2011
Mathematics
67ca00ce0c643c71d77dee1f
T varies inversely as the cube of R. When R = 3, T = 2/81 , find T when R = 2
A.
1/18
B.
1/12
C.
1/24
D.
1/6
Correct Answer: 1/12
Explanation
T α1/R3 T = k/R3 k = T/R3 = 2/81 x 33 = 2/81 x 27 dividing 81 by 27 k = 2/2 therefore, T = 2/3 x 1/R3 When R = 2 T = 2/3 x 1/23 = 2/3 x 1/8 = 1/12
T α1/R3 T = k/R3 k = T/R3 = 2/81 x 33 = 2/81 x 27 dividing 81 by 27 k = 2/2 therefore, T = 2/3 x 1/R3 When R = 2 T = 2/3 x 1/23 = 2/3 x 1/8 = 1/12THIS WEEK's
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