Blog: When 3 litres of oil is removed from an upright cylindrical can, the level falls by 10 cm. Find the radius of the can.

Wednesday, May 11, 2011

When 3 litres of oil is removed from an upright cylindrical can, the level falls by 10 cm. Find the radius of the can.

Hello!

Denote the radius of a can in cm as $\displaystyle{R}.$

Removed oil had the shape of a disk (upright circular cylinder). Its height $\displaystyle{h}={10}{c}{m}$ is given, its volume $\displaystyle{V}={3000}{c}{{m}}^{{3}}$ is also given. The relation between them is

$\displaystyle{V}=\pi\cdot{{R}}^{{2}}\cdot{h},$

$\displaystyle{R}=\sqrt{{\frac{{V}}{{\pi\cdot{h}}}}}\approx\sqrt{{\frac{{3000}}{{{3.14}\cdot{10}}}}}\approx{9.77}{\left({c}{m}\right)}.$

This is the answer.

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Wednesday, May 11, 2011

When 3 litres of oil is removed from an upright cylindrical can, the level falls by 10 cm. Find the radius of the can.

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