2) A prism has a height of \(13\). The base is a rhombus with diagonals \(6\) and \(9\). Find the volume of the prism.
3) If the height of the cylinder tube is \(25\) cm, find the volume of the tube. (Note: the two cylinders are concentric.)
4) In the regular square pyramid, \(PA = 34\) and \(\ell = 30\), find the volume.
5) Circle \(C\) is the base of the right circular cone. If the circumference is \(30\pi\) in and \(m\angle{ABC}=30^{\circ}\), find the volume of the cone.
6) If the base of the right circular cylinder shown has a circumference of \(14\pi\) and \(AB = 25\), find the volume of the cylinder.
7) A cone is inserted in a hemisphere with diameter \(18\) cm so that the vertex of the cone is on the surface of the hemisphere. The bases of the figures are congruent. Find the volume.
8) The area of the lower base in the rectangular pyramid is \(342\) cm\(^2\). If \(DC = 16\) and \(AB = 10\), then find the volume of the frustum.
9) Find the volume of the cone frustum if the radius of the bottom base is \(34\) mm, the radius of the top base is \(17\) mm, and the height of the frustum is \(20\) mm.
10) Below is a frustum of a regular, pentagonal pyramid. This is a pentagonal prism with a smaller pentagonal prism cut off. What is the total volume of the frustum?
11) What is the volume of the bucket? How many gallons of water can this bucket hold? The dimensions are \(12\frac{5}{8}\) in top diameter, \(9\frac{1}{2}\) in bottom diameter and \(12\) in height.