Respuesta :

Draw the tank

we can use the formula of the volume of a cylinder

[tex]V=\pi\times r^2\times h[/tex]

we can repalce the value of the volume (320pi) and the height

[tex]\begin{gathered} 320\pi=\pi\times r^2\times20 \\ 320\pi=20r^2\pi \end{gathered}[/tex]

now solve for r^2 dividing 20pi on both sides

[tex]\begin{gathered} \frac{320\pi}{20\pi}=r^2 \\ \\ r^2=16 \\ \end{gathered}[/tex]

and solve for r using roots

[tex]\begin{gathered} r=\sqrt[]{16} \\ \\ r=4 \end{gathered}[/tex]

the value of the radious is 4ft and the diameter double, then

[tex]\begin{gathered} d=2\times4 \\ d=8 \end{gathered}[/tex]

diameter of the cylinder is 8 ft then rigth option is C

Ver imagen JunaB384905

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