Question

IF X VARIES INVERSELY AS THE CUBE OF Y , WHEN Y=6 AND THE VALUE OF X =81. WHAT WILL BE THE VALUE OF Y WHEN X=3?​

Answer 1

Step-by-step explanation:

Given that, the cube root of x varies inversely as square of y

Also, x=8 and y=3

Then,

3

x= y21 and 3

x =k× y 21

∴ 38 =k× (3) 21

⇒2=k× 91

⇒k=18

Then y=1 21 = 23

Then 3x =18× ( 23 ) 21

⇒ 3x=18× 94

⇒ 3x =8⇒x=2