A pebble is dropped into a calm pond causing ripples in the form of concentric circles. The radius in feet of the outer ripple is denoted by the function r(t)=0.6t, where t is time in seconds after the pebble strikes the water. The area of the circle is denoted by the function A(r)=(pi)r^2. Find and interpret (in context A°r(t).
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A pebble is dropped into a calm pond causing ripples in the form of concentric circles. The radius in feet of the outer ripple is denoted by the function r(t)=0.6t, where t is time in seconds after the pebble strikes the water. The area of the circle is denoted by the function A(r)=(pi)r^2. Find and interpret (in context A°r(t).
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