We appreciate your visit to A child sized swimming pool can be modeled by a cylinder The pool has a diameter of 6 feet and a height of 12 inches. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The volume of a cylinder is:
[tex]\begin{gathered} V=\pi\times\frac{d^2}{4}\times h \\ d=diameter \\ h=\text{height} \end{gathered}[/tex]The height of the cylinder: 12 inches
Since 1 feet is 12 inches, then we can say the height of the cylinder is 1 foot.
diameter: 6 feet.
Now we can find the volume of the pool (cylinder):
[tex]\begin{gathered} V=\pi\times\frac{6^2}{4}\times1 \\ V=9\pi\approx28.274ft^3 \\ \\ \therefore V=28ft^3\text{ (to the nearest cubic foot)} \end{gathered}[/tex]V = 28 cubic feet
One cubic foot equals 7.48 gallons, therefore to find the amount of water in gallons is:
[tex]\begin{gathered} 7.48\times28.274 \\ =211.489\text{gallons}=212gallons\text{ (to the nearest gallon)} \end{gathered}[/tex]Thanks for taking the time to read A child sized swimming pool can be modeled by a cylinder The pool has a diameter of 6 feet and a height of 12 inches. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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