the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis is 8π
y = x^2 and x = 2
=> y = 4
Volume = [int 0 to 4] π x^2 dy
= [int 0 to 4] π y dy
= 8π
In mathematics, "volume" is a mathematical quantity that describes the three-dimensional space occupied by an object or closed surface. Volume units are cubic units such as m3, cm3, and in3. Volume is sometimes called capacity.
Volume is a measure of the volume contained in an object. For example, if 100ml of water fills the rim of the cup, the capacity is said to be 100ml. Volume can also be defined as the amount of space occupied by a three-dimensional object.
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