Question

Quantos litros de água são necessários para encher um recipiente esférico com 15 cm de raio? *

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Volume\,da\,esfera}\\\sf V=\dfrac{4}{3}\cdot\pi\cdot r^3\\\\\sf V=\dfrac{4}{3}\cdot \pi\cdot15^3\\\\\sf V=\dfrac{4}{\diagdown\!\!\!\!3}\cdot\pi\cdot\diagdown\!\!\!\!\!\!22\diagdown\!\!\!5\\\\\sf V=4\cdot\pi\cdot75\\\sf V=300\pi\,cm^3\\\sf assuma\,que\,\pi\approxeq3,14\,e\,que\,1L=1000\,cm^3\\\sf V=300\cdot3,14\cdot0,001\\\sf V=0,942\,L\end{array}}$