Mathematics, 23.01.2020 23:31 Joejoe1813
To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
a) 8245.7 in3
eliminate
b) 17367.6 in3
c) 29321.5 in3
d) 41225.4 in3
Answers: 3
![\bf \begin{array}{llll} \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=10 \end{cases} \\\\\\ V=\cfrac{4\pi 10^3}{3}\implies V=\cfrac{4000\pi }{3} \end{array}~\hfill \begin{array}{llll} \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=20 \end{cases} \\\\\\ V=\cfrac{4\pi 20^3}{3}\implies V=\cfrac{32000\pi }{3} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0467/9763/d94d0.png)
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