Answer:
The volume is equal to [tex]98,470.4\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the radius of the base of cylinder
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=87.92\ cm[/tex]
assume
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]87.92=2(3.14)r[/tex]
[tex]r=87.92/[2(3.14)]=14\ cm[/tex]
step 2
Find the volume of the water tank (cylinder)
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=14\ cm[/tex]
[tex]h=160\ cm[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=(3.14)(14)^{2} (160)[/tex]
[tex]V=98,470.4\ cm^{3}[/tex]
