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 \(R\), \(R > r\).
