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Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?

Respuesta :

MrRoyal

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

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

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

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