Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 29264 by bbbbbb last updated on 06/Feb/18

$$\mathrm{there}\mathrm{are}25\mathrm{persons}\mathrm{in}\mathrm{a}\mathrm{conical}\mathrm{tent}$$$$\mathrm{every}\mathrm{person}\mathrm{needs}\mathrm{an}\mathrm{area}\mathrm{of}4\mathrm{sq}\mathrm{m}$$$$\mathrm{on}\mathrm{the}\mathrm{ground}\mathrm{under}\mathrm{the}\mathrm{tent}.\mathrm{if}$$$$\mathrm{height}\mathrm{if}\mathrm{the}\mathrm{tent}\mathrm{is}18\mathrm{m}.\mathrm{find}\mathrm{the}\mathrm{volume}$$$$\mathrm{of}\mathrm{the}\mathrm{tent}.$$

Answered by Rasheed.Sindhi last updated on 06/Feb/18

$$\mathrm{Total}\mathrm{area}\mathrm{of}\mathrm{ground}=4\times 25=100\mathrm{sq}\mathrm{m}$$$$\mathrm{As}\mathrm{the}\mathrm{tent}\mathrm{is}\mathrm{conical}\mathrm{so}\mathrm{this}\mathrm{ground}\mathrm{is}$$$$\mathrm{circle}.\mathrm{If}\mathrm{this}\mathrm{circle}\mathrm{has}\mathrm{radius}\mathrm{r}$$$$\pi {\mathrm{r}}^2=100$$$$\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{tent}\left(\mathrm{V}\right)\mathrm{of}\mathrm{the}\mathrm{height}\left(\mathrm{h}\right)$$$$\mathrm{V}=\frac{1}{3}\pi {\mathrm{r}}^2\mathrm{h}=\frac{1}{3}\left(\pi {\mathrm{r}}^2\right)\mathrm{h}$$$$=\frac{1}{3}\times 100\times 18=600{\mathrm{m}}^3$$$$$$

Commented by bbbbbb last updated on 06/Feb/18

$$\mathrm{thank}\mathrm{u}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com