parallel lines never touch, if that helps.
The formula for volume of a cylinder is pi*r^2*h. If we plug in the numbers, the volume would be 500pi inches cubed.
Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
x(x - 2) - 6(x - 2) = 0
(x - 6)(x - 2) = 0
x - 6 = 0 or x - 2 = 0
x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.
Therefore, the side length of the original square is 6 inches.
The answer would be <u>16</u>. Neither 24, 28, or 36 can multiply by a whole number to equal 64, and 16 cannot be multiplied by a whole number to equal those values.
<u /><u />Hope this helps :)
