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(1 point) Consider a circular cone of radius 3 and height 5, which we view horizontally as pictured below. Our goal in this activity is to use a definite integral to determine the volume of the cone. (a) Find a formula for the linear function y = f(x) that is pictured above. f(x) = (b) For the representative slice of thickness Ax that is located horizontally at a location x (somewhere between x = 0 and x = 5), what is the radius r of the representative slice? Note that the radius depends on the value of x. 7= (c) What is the volume Vslice (x) of the representative slice you found in (b)? (Use D as the value for Ax) Vslice (x) =
(d) What definite integral h(x) dx will sum the volumes of the thin slices across the full horizontal span of the cone? a = b = h(x) = What is the exact value of this definite integral? Sh(x) dx =