Please help! I don’t get what I’m supposed to put in those boxes

The volume of any cylinder is

V = pi*r^2*h

where r is the radius and h is the height. We are keeping r = 2 the same the entire time, as the first part of the instructions indicate. In contrast, h is allowed to vary or change based on the values shown in the table.

If h = 1, then,

V = pi*r^2*h

V = pi*2^2*1

V = pi*4

V = 4pi

So you'll write "4pi", without quotes of course, in the V column next to h = 1. This first row shows a height of 1 leads to a volume of 4pi.

Then if h = 2, we have,

V = pi*r^2*h

V = pi*2^2*2

V = pi*8

V = 8pi  ... this is written in the second box

and finally if h = 3, we would say,

V = pi*r^2*h

V = pi*2^2*3

V = pi*12

V = 12pi and this is placed in the third box

The values of V we got were: 4pi, 8pi, 12pi

This is for h = 1,2 and 3 respectively in that order.

The sequence 4,8,12 is linear because we are adding 4 each time. More specifically, it fits the equation y = 4x where x = 1,2,3. Think of y = 4x as y = 4x+0 and that fits the slope intercept form y = mx+b.

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