Bab 14 Pengamiran

$\begin{array}{l}\text{apabila }y=2,x=\frac{3}{2}\left(2\right)=3,Q=\left(3,2\right)\\ I_1\left(\text{Isipadu kon}\right)\\ =\frac{1}{3}\pi r^{2}h=\frac{1}{3}\pi {\left(3\right)}^2\left(2\right)\\ =6\pi {\text{ unit}}^3\end{array}$

$\begin{array}{l}{I}_2\left(\text{Isipadu lengkung}\right)\\ \text{=}\pi {\displaystyle {\int }_1^2{x}^{2}dy}\\ \text{=}\pi {\displaystyle {\int }_1^2{\left(y^2-1\right)}^{2}dy}\\ \text{=}\pi {\displaystyle {\int }_1^2\left(y^4-2y^2+1\right)dy}\\ =\pi {\left[\frac{y^5}{5}-\frac{2y^3}{3}+y\right]}_1^2\\ =\pi \left[\left(\frac{2^5}{5}-\frac{2{\left(2\right)}^3}{3}+2\right)-\left(\frac{1^5}{5}-\frac{2{\left(1\right)}^3}{3}+1\right)\right]\\ =\pi \left(\frac{46}{15}-\frac{8}{15}\right)\\ =\frac{38}{15}\pi {\text{unit}}^3\end{array}$

$\begin{array}{l}\text{Maka isipadu janaan}=I_1-I_2\\ =6\pi -\frac{38}{15}\pi \\ =\frac{52}{15}\pi {\text{unit}}^3\end{array}$