Question

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

Answer 1

The closest answer is D. 693.55 yd3 
H
   O
      P
        E
             T
                H
                    I
                      S
                           H
                               E
                                  L
                                      P
                                         S 
                                              =)

Answer 2

Answer: 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 = $\dfrac{8.7}{2}=4.35\ \text{yards}$

Height of cylinder = 9 yards

Height of cone = 8 yards

The volume of cylinder is given by :-

$V_1=\pi r^2h\\\\\Rightarrow V_1=(3.14159265359)(4.35)^2(9)\\\\\Rightarrow V_1=535.021082888{ yards}^3$

The volume of cone is given by :-

$V_2=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow V=\dfrac{1}{3}(3.14159265359)(4.35)^2(8)\\\\\Rightarrow V=158.5247653\text{ yards}^3$

Now, Volume of the composite figure will be :

$V=V_1+V_2\\\\\Rightarrow\ V=535.021082888+158.5247653\\\\\Rightarrow\ V=693.545848188\approx693.55\text{ yards}^3$