A rectangular solid has height h and a square base. One side of the square base is 5 inches greater than the height. a. Find an expression for the volume in terms of h.
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 rectangular solid has height h and a square base. One side of the square base is 5 inches greater than the height.
a. Find an expression for the volume in terms of h.
b. For what values of h does the volume function make sense? Answer in interval notation.
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