Find the volume of the composite solid if the diameter is 8.7 yards. round your answer to the nearest hundredth.

a.
220.76 yd3
b.
429.88 yd3
c.
535.02 yd3
d.
693.55 yd3

D.    693.55 yd3

Step-by-step explanation:

Given: The diameter of the composite solid = 8.7 yards

Then , the radius of the composite solid =

Height of cylinder = 9 yards

Height of cone = 8 yards

The volume of cylinder is given by :-

The volume of cone is given by :-

Now, Volume of the composite figure will be :

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

the answer is:

mean: 6

mad: 2.14