Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 136910 by leena12345 last updated on 27/Mar/21

$$use-cylindrical-shells-to-find-volume$$$$y=x^3/y=8/about-x=9$$$$$$

Answered by liberty last updated on 27/Mar/21

$$\mathrm{Vol}=2\pi {\int }_0^8(8-\mathrm{x}){\mathrm{x}}^3\mathrm{dx}$$$$=2\pi {\int }_0^8({8\mathrm{x}}^3-{\mathrm{x}}^4)\mathrm{dx}$$$$=2\pi {[{2\mathrm{x}}^4-\frac{{\mathrm{x}}^5}{5}]}_0^8$$$$=2\pi {\left({\mathrm{x}}^4(2-\frac{\mathrm{x}}{5})\right]}_0^8$$$$=2\pi .8^4.\frac{2}{5}=\frac{4\pi .8^4}{5}=\frac{16,384\pi }{5}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com