The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with hemispheres glued to each end. If the volume of the medication in the allergy tablet is equal to the volume of a cone with a height of 10.15 mm and the same radius r, find the volume of the allergy tablet. Give answer in terms of TT. 2.05 mm r mm 10.15 mm

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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.