The street department's storage building, which is used to store the rock, gravel, and salt used on the city's roadways, is built in the shape of a regular hexagonal pyramid. The altitude of the pyramid has the same length as any side of the base. If the volume of the interior is 11,972 ft', find the length of the altitude and of each side of the base to the nearest foot.

Suppose you have two similar pyramids. The base of the first pyramid is a triangle with a base of 6cm and a height of 6cm. The height of the first pyramid is 7cm. The second pyramid has a height of 14cm. What is the volume of the second trianaular pyramid?

A square pyramid has side lengths of 6 yards and a height of 5 yards. An oblique cone has the same height and equal volume.Part A: What is the volume of the pyramid? Show all necessary steps. Part B: What is the radius of the cone? Round to the nearest tenth of a yard. Show all necessary steps.

A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?

. A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same radius. How high must the new tank be if it is to hold the same amount of water as the old tank?