Mathematics → Solid Figures → Volume
The volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
In this question,
r = 2 ft (4/2 =2)
h = 5 ft
Then, the volume of the cylinder is (Vc):
[tex]\begin{gathered} Vc=\pi *2^2*5 \\ Vc=\pi *4*5 \\ Vc=20\pi \end{gathered}[/tex]
Using π = 3:
[tex]\begin{gathered} Vc=3*20 \\ Vc=60ft^3 \end{gathered}[/tex]
The volume of a rectangular prism (Vr) is:
[tex]Vr=lwh[/tex]
In this question:
l = 9 ft
w = 5 ft
h = 5 ft
Then, the volume of the rectangular prism is:
[tex]\begin{gathered} V=9*5*5 \\ V=225ft^3 \end{gathered}[/tex]
The volume of the object (V) is the sum of the volumes:
[tex]\begin{gathered} V=Vc+Vr \\ V=60+225 \\ V=285ft^3 \end{gathered}[/tex]
Answer: 285 ft³.
