How many spherical lead shots of diameter $4 \,cm$ can be made out of a solid cube of lead whose edge measures $44 \,cm$?

  • A
    $2500$
  • B
    $2561$
  • C
    $2541$
  • D
    $2535$

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$A$ canal is $300 \,cm$ wide and $120 \,cm$ deep. The water in the canal is flowing with a speed of $20 \,km/h$. How much area will it irrigate in $20 \,minutes$ if $8 \,cm$ of standing water is desired? (in $hectares$)

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Write 'True' or 'False' and justify your answer:
$A$ solid cone of radius $r$ and height $h$ is placed over a solid cylinder having the same base radius and height as that of the cone. The total surface area of the combined solid is $\pi[\sqrt{r^{2}+h^{2}}+3r+2h]$.

Write 'True' or 'False' and justify your answer:
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