A non-negative function is defined on an interval

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A non-negative function ff is defined on an interval [a,b][a,b]. The region under the graph of y=c f(x)y = c\,f(x), where c>0c>0 is a constant, is revolved about the xx–axis. In one sentence, describe how the volume of the resulting solid depends on the constant cc.

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