Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-22

  • question_answer
    A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is

    A)  88.2% 

    B)  87.5%

    C)  80.5% 

    D)  81.6%

    Correct Answer: B

    Solution :

    Volume of coffee in hemisphere cup \[=\frac{2}{3}\pi {{r}^{3}}=\frac{2}{3}\times \frac{22}{7}\times {{(4)}^{3}}\] \[=\frac{2\times 22\times 64}{21}=134.09\,\,c{{m}^{2}}\] Volume of cone\[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\times \frac{22}{7}\times {{(8)}^{2}}\times 16\] \[\,=\frac{1\times 22\times 64\times 16}{2\grave{\ }1}\] \[=1072.76\,\,c{{m}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner