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किसी शंकु के आधार का क्षेत्रफल `770 cm^(2)` उसके तिर्यक पृष्ठ का क्षेत्रफल `814 cm^(2)` है। आयतन ज्ञात करें?A. `213 sqrt(3)cm^(3)`B. `392sqrt(5)cm^(3)`C. `550sqrt(5)cm^(3)`D. `616sqrt(5)cm^(3)` |
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Answer» Correct Answer - D `pir^(2)=770` `impliesr^(2)=(770xx7)/22` `implies r=7sqrt(5)cm` ltrbgt and `pirl=814` `l=(814xx7)/(22xx7sqrt(5))=37/(sqrt(5))` `l^(2)=h^(2)+r^(2)` `=(37xx37)/4=h^(2)+245` `impliesh^(2)=1369/5-245=144/5` `implies h=12/(sqrt(5))` volume `=1/3pir^(2)h` `=1/3xx22/7xx7sqrt(5)xx7sqrt(5)xx12/(sqrt(5))` `616sqrt(5)cm^(3)` |
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