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Purple Cylinder

Step-by-step explanation:

You are given the equation for the volume of a cylinder, which is: , where r is the radius of the cylinder and h is the height.

We are given both the height and radius of each cylinder in the question, therefore we can work out the volume of each of them.

Purple Cylinder:

Radius given = 2

Height given = 2

, so the volume of the purple cylinder is .

Green Cylinder:

Radius given = 1

Height given = 6

, so the volume of the green cylinder is .

Now let's compare the volumes: . is larger than so the volume of the purple cylinder is greater than the volume of the green cylinder.

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.