ASSIGNMENT - SOLIDS OF WHICH V = (mean)Bh
A Dutch windmill in the shape of the frustum of a right circular cone is 12 meters high. The outer diameters at the bottom and the top are 16 meters and 12 meters, the inner diameters 12 meters and 10 meters. Hoe many cubic meters of stone were required to built it.
An irregular pile of coal with plane faces is 16 ft. high and covers 600 sq. ft. of level ground. Its mid section and level top are estimated to contain 400 ad 200 sq. ft., respectively. Find the cost of transporting it at P30.00 per load, if the coal truck holds 110 cu. ft. of coal.
A railway embankment across a valley has the following dimensions: width at top, 20 ft.; width at base, 45 ft.; height, 11 ft.; length at top, 1020 yd.; length at base, 960 yd. Find the volume.
A chimney in the shape of a frustum of a regular pyramid is 186.3 ft. high. Its upper bas is a square 10 ft. on a side, and its lower base is a square 16 ft. on a side. The flue is of uniform square cross section, 71/4by 71/4ft. Find the weight of the chimney if the material weighs 112.8 lb. per cu. ft.
A lighthouse consists of a tall tapering constructed of brick and has a circular cross section. The tower is surmounted by a conical top consisting of a tin roof with an overhang such that the eave is 1 ft. The over all
An irregular pile of earth is 15 ft. high and covers 500 sq. ft. Its mid-section and level top are estimated to contain 400 and 200 sq. ft., respectively. Find the cost of removing it at 60 cents per load, if the truck measures 3 by 4 by 9 ft.
Find the total area of the frustum of a regular square pyramid which is inscribed in the frustum of a cone whose upper and lower diameters are 4 ft. and 6 ft., respectively, and whose altitude is 12 ft.
The space occupied by the water in a reservoir is the frustum of a right circular cone. Each axial section of this frustum has an area of 880 sq. ft., and the diameters of the upper and the lower bases are in the ratio 6:5. If the reservoir contains 13,6000, 000 gal. , find the depth of the water.
Find the difference between the volume of the frustum of a square pyramid whose lower and upper base edges are 8 and 6 ft., respectively, and the volume of a prism of the same altitude whose base is a mid-section of the frustum.
If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral area (a) if the altitude is 4 in. and the perimeter of a vertical section through the axis is 26 in., (b) if the altitude is 7.2 in. and the perimeter is 39.2 in.