Matematika

Pertanyaan

saya dulu dapat jawaban yang benar sekarang saya coba jawab saya lupa caranya, tolong caranya yah ka.
saya dulu dapat jawaban yang benar sekarang saya coba jawab saya lupa caranya, tolong caranya yah ka.

1 Jawaban

  • [tex]\displaystyle V=\pi r^2t\\V=\pi\left(\frac{\sqrt2-1}{\sqrt2+1}\right)^2\cdot\frac{6\sqrt3}{2\sqrt2+3}\\V=\pi r^2t\\V=\pi\left(\frac{\sqrt2-1}{\sqrt2+1}\cdot\frac{\sqrt2-1}{\sqrt2-1}\right)^2\cdot\frac{6\sqrt3}{2\sqrt2+3}\cdot\frac{2\sqrt2-3}{2\sqrt2-3}\\V=\pi\left(\frac{(\sqrt2-1)^2}{2-1}\right)^2\cdot\frac{6\sqrt3(2\sqrt2-3)}{8-9}\\V=\pi\left(3-2\sqrt2\right)^2\cdot\frac{12\sqrt6-18\sqrt3}{-1}\\V=\pi\left(17-12\sqrt2\right)\left(18\sqrt3-12\sqrt6\right)[/tex]
    [tex]\displaystyle V=(306\sqrt3-204\sqrt6-216\sqrt6+144\sqrt{12})\pi\\\boxed{\boxed{V=(594\sqrt3-420\sqrt6)\pi}}[/tex]