Surface area of solids of revolution

Task number: 3146

Determine the surface area of

  • Variant 1

    a cylinder with height \(v\) and base radius \(r\).

  • Variant 2

    a cone with height \(v\) and base radius \(r\).

  • Variant 3

    a sphere with radius \(r\).

  • Variant 4

    a paraboloid resulting from the rotation of the curve \(y = c \sqrt x\) for \(x \in [0, b]\).

  • Variant 5

    a torus with radii \(r\) a \(R\), \(R > r\).

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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