The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is the expression for the cylinders volume ?

1/4πs^3

Step-by-step explanation:

The volume of a cylinder = πr^2h.

Here its height h = s and its radius r = 1/2 diameter = s/2.

So it's volume is π(s/2)^2s

= 1/4πs^3.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

27

step-by-step explanation: