Geometry

An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill the bottom half of the hourglass 2/3 full of salt, how much salt will you need? Explain the method you would use to find the amount of salt.

How would I solve this?

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  1. 1/3 (pi *r^2)(h) ?

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  2. So you want 2/3 of one cone

    volume = (2/3)(1/3)π(3^2)(12)
    = 24π cm^3

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  3. 75.40 cm^3 would that be the final answer?

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  4. Actually it would be 37.7 cm^3 because the height of an individual cone is 6

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