A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.
Which expression represents the volume, in cubic units, of the composite figure?

Pi(52)(13) – One-third pi (52)(12)
Pi(52)(13) – One-third pi (52)(25)
Pi(52)(13) + One-third pi (52)(12)
Pi(52)(13) + One-third pi (52)(25)

C. Pi(5^2)(13) + One-third pi (5^2)(12)

Step-by-step explanation:

edge

24

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