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Question Number 8465 by tawakalitu last updated on 12/Oct/16

Answered by sandy_suhendra last updated on 12/Oct/16

a) let r=7 cm and h=5 cm  the surface area=2×((30)/(360)) πr^2 +2rh+((30)/(360))×2πrh  =(1/6)×((22)/7)×7^2 +2×7×5+(1/6)×((22)/7)×7×5  =25.67+70+18.33  =114 cm^2   b) the volume = ((30)/(360))πr^2 h = (1/(12))×((22)/7)×7^2 ×5=64.17 cm^3

$$\left.\mathrm{a}\right)\:\mathrm{let}\:\mathrm{r}=\mathrm{7}\:\mathrm{cm}\:\mathrm{and}\:\mathrm{h}=\mathrm{5}\:\mathrm{cm} \\ $$$$\mathrm{the}\:\mathrm{surface}\:\mathrm{area}=\mathrm{2}×\frac{\mathrm{30}}{\mathrm{360}}\:\pi\mathrm{r}^{\mathrm{2}} +\mathrm{2rh}+\frac{\mathrm{30}}{\mathrm{360}}×\mathrm{2}\pi\mathrm{rh} \\ $$$$=\frac{\mathrm{1}}{\mathrm{6}}×\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{7}^{\mathrm{2}} +\mathrm{2}×\mathrm{7}×\mathrm{5}+\frac{\mathrm{1}}{\mathrm{6}}×\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{7}×\mathrm{5} \\ $$$$=\mathrm{25}.\mathrm{67}+\mathrm{70}+\mathrm{18}.\mathrm{33} \\ $$$$=\mathrm{114}\:\mathrm{cm}^{\mathrm{2}} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{the}\:\mathrm{volume}\:=\:\frac{\mathrm{30}}{\mathrm{360}}\pi\mathrm{r}^{\mathrm{2}} \mathrm{h}\:=\:\frac{\mathrm{1}}{\mathrm{12}}×\frac{\mathrm{22}}{\mathrm{7}}×\mathrm{7}^{\mathrm{2}} ×\mathrm{5}=\mathrm{64}.\mathrm{17}\:\mathrm{cm}^{\mathrm{3}} \\ $$

Commented by tawakalitu last updated on 12/Oct/16

Thanks so much.

$$\mathrm{Thanks}\:\mathrm{so}\:\mathrm{much}. \\ $$

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