$A$ plumbline (sahul) is the combination of (see figure):

  • A
    a cone and a cylinder
  • B
    frustum of a cone and a cylinder
  • C
    sphere and cylinder
  • D
    a hemisphere and a cone

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The base of a cone is in the shape of a ..............

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How many balls with diameter $1 \, cm$ can be produced by melting a metallic cylinder with radius $6 \, cm$ and height $4 \, cm$?

The volume of a sphere with diameter $10 \, cm$ is $\ldots \ldots \, cm^3$.

$A$ rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are $6 \, cm$ and $12 \, cm$,respectively. If the slant height of the conical portion is $5 \, cm$,find the total surface area and volume of the rocket. [Use $\pi = 3.14$]

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