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1) The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m. A) 145.69 cu. m.

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1) The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m. A) 145.69 cu. m. B) 256.58 cu. m. C) 234.57 cu. m. D) 124.58 cu. m. 2) A cubical container that measures 2 inches on each side is tightly packed with 8 marbles and is filled with water. All 8 marbles are in contact with the walls of the container and the adjacent marbles. All marbles are of the same size. What is the volume of water in the container? A) 2.5 cu. in. B) 4.2 cu. in. C) 0.38 cu. in. D) 3.8 cu. in. 3) What is the area in sq. m. of the zone of a spherical segment having a volume of 1470.625 cu. m. if the diameter of the sphere is 30 m? A) 665.5 sq. m. 1/3 B) 465.5 sq. m. C) 565.5 sq. m. D) 656.5 sq. m.4) Atop is cast in the form of a spherical sector. The slant height ofthe conical portion is 2 inches and the element of the cone is inclined 30 degrees to the axis. Find the cost of material in manufacturing 1000 such tops if the material cost 900 pesos a cubic foot, A) 1416.9 pesos B) 1964.1 pesos C) 1169.4 pesos ) D 1069.1 pesos 5) A lateral edge of the frustum of a regular pyramid is 1.8 m long. The upper base is a square 1 m by1 m and the lower base 2.4 m by 2.4 m square. Determine the volume of the frustum in cu. m. A)4.6 cu. m. B) 3.3 cu. m. C) 5.7 cu. m. D) 6.6 cu. m. 6) The solid shown in the figure below has two parallel planes; plane ABC is a right triangle and plane DEFG which is a rectangle. All faoe angles at B, D and E are 90 degrees. Find the volume of the solid. A) 459 cu. units B) 400 cu. units C) 390 cu. units D) 395 cu. units

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