QUESTION IMAGE
Question
this water bottle has a base with area b square inches and a height of h inches.
tyler thinks the volume of the water bottle is $bh$. elena thinks the volume is less than $bh$.
do you agree with either of them?
i agree with tyler.
i agree with elena.
i dont agree with either of them.
explain your reasoning.
The formula $Bh$ calculates the volume of a perfect right prism (a shape with straight, vertical sides and a uniform cross-section). The water bottle has curved, tapered sides (it narrows towards the top), so its internal cross-sectional area is smaller than the base area $B$ for most of its height. This means its actual volume is less than the volume of a prism with base $B$ and height $h$.
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I agree with Elena.