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Dimas [21]
2 years ago
15

A sphere with a radius of 4 cm is enlarged by a scale factor of 2. What is the approximate volume of the new sphere in cubic cen

timeters?
Mathematics
1 answer:
Lisa [10]2 years ago
5 0

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ \stackrel{original}{r=4}\\ \stackrel{enlarged}{r=(4)(2)} \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (\stackrel{enlarged}{~~(4)(2)~~})^3}{3} \\\\\\ V=\cfrac{2048\pi }{3}\implies V\approx 2144.66~cm^3 \end{array}

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