A cooking pot used in the cafeteria weighs 64 pounds when it is filled with soup. How much would a smilar pot witha scale factor of 1/2 weigh when filled with the same soup?

would you just do 64 divided by 2? If not then what do i do?

height and diameter both *1/2

volume = ( pi d^2/4) h
so volume proportional to scale factor cubed
(1/2)^3 = 1/8
64/8 = 8

umm i still don't understand

To find out how much the similar pot with a scale factor of 1/2 would weigh when filled with the same soup, you need to multiply the weight of the original pot by the scale factor.

In this case, the original pot weighs 64 pounds. So, to find the weight of the similar pot, you need to multiply 64 by 1/2:

64 * (1/2) = 32

Therefore, the similar pot with a scale factor of 1/2 would weigh 32 pounds when filled with the same soup.