Question

Can someone answer this questions?also, is 10^5 the same as 1/10^5??

Answer 1

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3\cdot 10^2 \end{cases}\implies V=\cfrac{4\pi (3\cdot 10^2)^3}{3} \implies V=\cfrac{4\pi (3^3\cdot 10^{2\cdot 3})}{3} \\\\\\ V=4\pi (3^3\cdot 10^6)3^{-1}\implies V=4\pi 3^33^{-1}\cdot 10^6\implies V=4\pi 3^{3-1}10^6 \\\\\\ V=4\cdot \pi \cdot 3^2\cdot 10^6$