$A$ cylindrical pencil sharpened at one edge is the combination of

  • A
    frustum of a cone and a cylinder
  • B
    a cone and a cylinder
  • C
    a hemisphere and a cylinder
  • D
    two cylinders.

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$A$ well with radius $2 \, m$ and depth $50 \, m$ is dug and the soil taken out is spread evenly on a circular plot with radius $40 \, m$. Find the increase in the level of the plot in $cm$.

Total Surface Area of a cone $= \dots$

Three cubes of a metal whose edges are in the ratio $3:4:5$ are melted and converted into a single cube whose diagonal is $12\sqrt{3} \, \text{cm}$. Find the edges of the three cubes (in $\text{cm}$).

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