Answer:
[tex]V_d=976.9ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of cylinder h_1=114 feet
Diameter d=1
Length of triangular prism [tex]l_2=34ft[/tex]
Width of triangular prism [tex]w_2=34ft[/tex]
Height of triangular prism [tex]h_2=1 ft[/tex]
Generally the equation for Volume of the cylinder is mathematically given by
[tex]V_c=\pir^2h[/tex]
Where
[tex]r=d/2\\r=0.5[/tex]
Therefore
[tex]V_c-=\pi*0.5*114[/tex]
[tex]V_c=57\pi[/tex]
[tex]V_c=179.1ft[/tex]
Generally the equation for Volume of a Rectangular prism is mathematically given by
[tex]V_r=whl[/tex]
[tex]V_r=34*34*1[/tex]
[tex]V_r=1156feet[/tex]
Generally the equation for Volume difference is mathematically given by
[tex]V_d=V_r-V_c[/tex]
[tex]V_d=1156-179.1[/tex]
[tex]V_d=976.9ft[/tex]
