If the radius is doubled and the height is halved what is the ratio of the new volume to the original volume

Ratio of new volume to original volume is 2:1.

Step-by-step explanation:

Let the radius of cylinder be 'r'

Let the height of cylinder be 'h'

Original volume of cylinder will be

If radius get doubled,

New radius be '2r'

If height get halved,

New height be will be

so, Volume of cylinder becomes

Ratio of new volume to the original volume is given by

Hence, Ratio of new volume to original volume is 2:1.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680