Question

T varies inversely with the cube of W. When W is 3, T is 1/9. Find the value of W when T is 1/243

Answer 1

9

Explanation:

Answer 2

T varies inversely with the cube of W


`T = k/W^3`


`(1)/(9) = k/3^3`


`k = (3^3)/(9) = 3`


`W^3 = k/T`


`W = \sqrt[3]{ k/T }`

When
`T=1/243`


`W = \sqrt[3]{ 3/(1/243)}= \sqrt[3]{729} = 9`