Question

We will find the volume of the solid generated by revolving the region R about z-axis where Ris the region bounded by y= 4 Vz and y= 5.zO Which of

the following is the correct integral to find the volume by dishwasher method 2 \pi \int_{4}^{5} y\left(\frac{y}{b}-\frac{y^{2}}{b^{2}}\right) d y O=\int_{0}^{0.64}(4 \sqrt{x})^{2}-(5 x)^{2} d x \int_{0}^{0.64} \frac{y^{2}}{4^{2}}-\left(\frac{y}{5}\right)^{2} d y \left.\int_{0}^{0.64}(5 x)^{2}-4 \sqrt{x}\right)^{2} d x O Which of the following is the correct integral to find the volume by Cylindrical Shell method \pi \int_{0}^{0.64}(4 \sqrt{x})^{2}-(5 x)^{2} d x \left.\int_{0}^{0.64}(5 x)^{2}-4 \sqrt{2}\right)^{2} d x 2 \pi \int_{0}^{3.2} y\left(\frac{y}{5}-\frac{y^{2}}{5^{2}}\right) d y 2 \pi \int_{0}^{0.64} y\left(\frac{y}{5}-\frac{y^{2}}{4^{2}}\right) d y

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