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- anonymous

How big is a ton? That is, what is the volume of something that weighs a ton? To be specific, estimate the diameter of a 1-ton rock, but first make a wild guess>: will it be 1 ft across, 3 feet, or the size of a car? (Hint: Rock has mass er volume about three times that of water, which is 1 kg per liter(10^3cm^3) or 62lb per cubic foot)

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- anonymous

This is a terrible question. A ton is a measure of mass, not volume or density.
A short ton is 2000 lb. A metric tonne is 1000 kilograms.
Taking the rock to be spherical, the volume is expressed as \[{4 \over 3} \pi r^3\]With the given density value, we can say that\[m = \rho \cdot {4 \over 3} \pi \cdot r^3\]where \(\rho\) is the density.

- UnkleRhaukus

one cubic meter of water equals 1 tonne
\[1m^3 \times H_2O\]|dw:1327711997113:dw|
1 ton is about 1.1tonne

- anonymous

Sorry, the book also says assume the rock is spherical NOT cubic.

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- UnkleRhaukus

i was just answering the question

- TuringTest

If its a sphere you want then eashmore's answer provides you with the necessary formula.
Just make sure you keep your units straight.

- anonymous

Okay thanks.

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