M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

Volume of a rect. prism = V = (length)(width)(height)

Here, the volume is V = (120/100 m) (2 m) (1.5 m) = 3.6 m^3