QUIZ MATH ~IK (Soal terlampir dalam gambar)

[tex]\displaystyle x^2+y^2=4\\x^2+(-\sqrt{3x^2})^2=4\\x^2+3x^2=4\\4x^2=4\\4(x^2-1)=0\\x=1\vee x=-1\\\\V=\pi\int\limits^{x_1}_{x_2}y_1^2-y_2^2\,dx\\V=\pi\int\limits^{1}_{-1}4-x^2-(-\sqrt{3x^2})^2\,dx\\V=\pi\int\limits^{1}_{-1}4-x^2-3x^2\,dx\\V=\pi\int\limits^{1}_{-1}4-4x^2\,dx\\V=\pi\left(\left4x-\frac43x^3\right|^{1}_{-1}\right)\\V=\pi\left(4(1)-\frac43(1)^3-4(-1)+\frac43(-1)^3\right)\\V=\pi\left(4-\frac43+4-\frac43\right)\\V=\pi\left(8-\frac83\right)\\V=\frac{16}3\pi\\\boxed{\boxed{V=\frac{80}{15}\pi\,\text{sV}}}[/tex]