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The height of sand in a cylindrical-sh...

The height of sand in a cylindrical-shaped can drops 3 inches when 1 cubic foot of sand is poured out. What is the diameter, in inches, of the cylinder? (a) `(24)/(sqrt(pi))\ ` (b) `(48)/(sqrt(pi))` (c) `(32)/(sqrt(pi))` (d) `(24)/pi`

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Verified by Experts

since volume of sand poured out `=1 ft^3`
`= 12^3inch^3`
and volume of cylinder which vacant`=pir^2h`
so`12^3=pir^2h`
`12^3=pir^2xx3`
`r=24/(pi)^(1/2)`
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