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Mamont248 [21]
3 years ago
13

How many pennies does it take to fill an olympic swimming pool?

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0
Let's start from an assumption of the size of the pool<span>. From the pictures, we'll set it at ... So the space we have to </span>fill<span> with </span>pennies<span> is: ... the </span>penny<span> as square instead of circle to simplify the math, a single </span>penny takes<span> up: ... So it makes sense he has this </span>pool<span> full of chump change just to </span>swim<span> around in. 1k Views ...</span>
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<u>Solution:</u>

Given, Rob is making a tent out of canvas in the shape of a square pyramid.  Each side of the square base is 6 feet long, and the height is 6.3 feet.  

Rob filled the tent with balloons,  

We have to find which measurement BEST describes the amount of balloons in the tent?  

As tent if filled with balloons the amount of balloons equals with volume of tent.

<em><u>Volume of tent is given as:</u></em>

\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}

where "a" is side length and "h" is height.

\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}

Hence, from the given options, approximately, option D is correct.  

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