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A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.



What is the volume of the water tank?


Enter your answer as a decimal in the box. Use 3.14 for π.

Respuesta :

Answer:

Step-by-step explanation:

The volume formula for a cylinder is

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

In order to find the radius we need to use the circumference we were given. The formula for the circumference is

[tex]C=2\pi r[/tex]

Filling in the info about the circumference value of 87.92:

[tex]87.92=2(3.14)r[/tex] or

87.92 = 6.28r so

r = 14

Now that we know the radius we can fill in the volume formula:

[tex]V=(3.14)(14)^2(160)[/tex] and

V = 98470.4 cm cubed

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