Which sketch shows the inverse of y=a x where a is greater than 1?

The answer would be a line that is not as steep and a reflection in the line y = x.

If the a value in the equation is greater than 1, we will have a line that is steeper than the line y = x.  

Now, we we take the inverse of the line, it will have a slope that is lower than y = x.

The graphs will be reflected in the line y = x.

Try graphing y = 3x and 3y = x.

Volume of cylinder(V) is given by:

           ....[1]

where, r is the radius of the cylinder and h is the height of the cylinder

From the diagram:

Diameter of a pipe (d) = 10 cm

height of the pipe(h) = 2m    

Use conversion:

1 m = 100 cm

then

2m  = 200 cm

⇒h = 200 cm

Since, a pipe is in the form of cylinder.

We have to find the volume of a pipe.

We know that:

⇒

Divide both sides by 2 we get;

5 = r

or

r = 5 cm

Substitute the given values and use  π = 3.14. in [1] we have;

Simplify:

Therefore, the volume of a pipe in cm³ is, 15700