What is the volume of the cylinder below?

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the radius of the cylinder is 11 units and the height of the cylinder is 5 units.

The volume of the cylinder is

Where, r is radius and h is height.

Substitute x=11 and h=15 in the above formula.

The volume of the cylinder is 1815π unit³.

Therefore the correct option is C.

y=1/4x-4

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places