MATHEMATICS
JAMB 2011 - Question 17
Mathematics 2011 JAMB Past Questions - Question 17: T varies inversely as the cube of R.When R=3 T=2/18,Find T when R =2
A:
B:
C:
D:
Correct Answer
B
Explanation
If T varies inversely as the cube of R, we can write the equation as T = k/R³, where k is the constant of variation.To find the value of k, we can substitute the given values of T and R into the equation:2/18 = k/3³Simplifying, we have:2/18 = k/27To solve for k, we can cross-multiply:2 * 27 = 18 * k54 = 18kDividing both sides of the equation by 18, we find:k = 3Now that we have the value of k, we can use it to find T when R = 2:T = 3 / 2³T = 3 / 8Simplifying further, we have:T = 3/8Therefore, when R = 2, T = 3/8.
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