Respuesta :

[tex]V\text{ = }\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

In this case we know that V = 75(pi) mm^3 and h = 9m = 9000mm (to put everything in mm), so we can write:

[tex]75\pi=\frac{1}{3}\pi\cdot r^2\cdot9000[/tex]

Now we have to solve this equation for r:

Since we have pi on both sides of the equation, we can eliminate it:

(75)(3) = 9000 r^2

r^2 = 225/9000 = 0.025

r = sqrt(0.025) = 0.1581

r = 0.1581

Answer:

r = 0.1581 mm

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