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Nonamiya [84]
2 years ago
10

A designer wants to make use of a half-spherical cistern in a water system. If the cistern has a diameter of 5.5 feet, how many

gallons of water can it hold?
Mathematics
1 answer:
mamaluj [8]2 years ago
8 0
\textit{volume of a sphere}=\cfrac{4}{3}\pi r^3\qquad r=radius
\\ \quad \\
\textit{so, a half of that, or a half-sphere volume}=\cfrac{\frac{4}{3}\pi r^3}{2}
\\ \quad \\
\cfrac{4}{3}\pi r^3\cdot \cfrac{1}{2}\implies \cfrac{4\pi r^3}{6}\implies \cfrac{2\pi r^3}{3}

plug in your radius
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