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A certain wire that weighs 8.5 g/cc has a total mass of 155 kg. Find the volume of the wire in cubic centimeters. Group of answer choices 18235.29 answ 19235.29 16235.29 17235.29 The figure represents a rectangular parallelepiped; AD=20 in., AB=10 in., AE=15 in. Find the perpendicular distance from B to the plane AOF. 4B-35.PNG

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Group of answer choices 10.682 in 9.682 in 8.682 in 7.682 in A certain wire that weighs 8.5 g/cc has a total mass of 155 kg. If the total length of the wire is 1500 m, find the cross-sectional area in square mm. Group of answer choices 13.16 11.16 10.16 12.16 asnw The space diagonal of a cube (the diagonal joining two non-coplanar vertices) is 6 m. The total surface area of the cube is: Group of answer choices 78 66 60 72 answ Counting 38 cu. ft. of coal to a ton, how many tons will a coal bin 19 ft. long, 6 ft. wide, and 9 ft. deep contain, when level full? Group of answer choices 26 tons 25 tons

28 tons 27 tons answ A log 18 ft. long is 2 ft. in diameter at the top end and 3 ft. in diameter at the butt end. How many cubic feet are there in the largest piece of timber of square cross section that can be cut from the log? Hint: the larger end is the square ABCD. What is the smaller end? pic 2 Group of answer choices 58 ft3 59 ft3 57 ft3 answ 56 ft3 A coffee pot is 5 in. deep, 4.5 in. in diameter at the top, and 5.75 in. in diameter at the bottom. Find the total volume it can hold in cubic inches. Group of answer choices 104.66 103.66 answ 101.66 102.66 A circular cylinder with a volume of 6.54 cu. m. is circumscribed about a right prism whose base is an equilateral triangle of side 1.25 m. What is the altitude of the cylinder in meters? Group of answer choices 3.50 4.25 3.75 4.00 answ The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic cm. What volume in cubic centimeters inside the shell is not occupied by the block? Group of answer choices 4713.56 asns 2714.56 4613.74

3714.65 A trough which is triangular ends lie in parallel rectangle which is 50cm by 150cm. If the altitude is 40cm. What is the depth of the water if the volume is 12 liters? 4A-3.PNG Group of answer choices 10.3137 11.3137 9.3137 12.3137 Find the vertices of the hyperbola LaTeX: \text{y^2/16-((〖x-2〗^2)/9)=1}y^2/16((〖x-2〗^2)/9)=1 Group of answer choices (-2, 4) and (2, 4) (4, -2) and (4 ,2) (2, -4) and (2, 4) asnw (-4, 2) and (4, 2) Find the center of the ellipse: LaTeX: \text{x^2/16+y^2/4=1}x^2/16+y^2/4=1 Group of answer choices (0, 0) answ (2, 4) (4, 2) (16, 4) The center of the ellipse LaTeX: \text{x^2/25+y^2/9=1}x^2/25+y^2/9=1 is: Group of answer choices (3 , 5) (25 , 9) (5 , 3) (0 , 0) answ Compute the focal length of parabola y2 + 8x – 6y + 25 = 0. Group of answer choices 12 2 asbnw

8 4 What is the directrix of the parabola (y - 1)2 = 16x? Group of answer choices (1 , -4) asnnw (1 , 4) (4 , 1) (-4 , 1) What is the directrix of the parabola (x + 5)2 = - 4(y + 1)? Group of answer choices x = 1 y = 0 answ x = 0 y =1 Given the point P(2,5) and the line 3x + 5y = 8, find the perpendicular distance. Group of answer choices 6.16 3.94 2.83 5.05 Find the slope of the line 2y−3x=5. Group of answer choices 5/2 2/3 3/2 aNSW 5/3 What type of triangle is made by the coordinates of these vertices: (-2,2), (8,-2), (-4,-3)? Group of answer choices equilateral triangle isosceles triangle scalene triangle

right triangle Find the total area of the sphere which circumscribes a cylinder of revolution whose altitude and diameter are each 6 inches. Group of answer choices 228.19 in2 227.19 in2 229.19 in2 226.19 in2 ANS A sphere having a diameter of 30 cm is cut into 2 segments. The altitude of the first segment is 8 cm. What is the ratio of the volume of the second segment to that of the first? Group of answer choices 3.2 2.5 5.8 4.7 A 523.6 cm3 solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the outer radius of the hollow steel ball. Group of answer choices 7.3 cm 8.3 cm 5.3 cm 6.3 cm ANSW An iron ball 10 cm in diameter weighs 4 kg. Find the volume (cm3) of an iron shell cm thick whose external diameter is 50 cm. Group of answer choices 20500π/2 30500π/3 ASNW 2050π/2 3050π/3 A 523.6 cm3 solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the thickness of the hollow steel ball. Group of answer choices 1.0 cm

1.1 cm 1.2 cm 1.3 cm ASNW The diameter of two spheres are in the ratio of 2:3. If the sum of their volumes is 1260 cu.m., the volume of the larger sphere is: Group of answer choices 972 cu.m. ASNW 856 cu.m. 927 cu.m. 865 cu.m. A sphere of radius r just fits into a cylindrical container of radius r and altitude 2r. Find the empty space in the cylinder. Group of answer choices (4/5) π r3 (8/9) π r3 (2/3) π r3 ASNW (20/27) π r3 A solid has a circular base of diameter 20 cm. Find the volume of the solid if every cutting plane perpendicular to the base along a given diameter is an equilateral triangle. Group of answer choices 2309 cc ANSW 2514 cc 2107 cc 2847 cc The volume of a sphere is increased by how much if its radius is increased by 20% Group of answer choices 33% 44% 72.8% ANSW 32.6% The area in the second quadrant of the circle x2+y2=36 is revolved about the line y + 10=0. What is the volume generated? Group of answer choices

2208.5 2218.6 2228.8 ASNW 2233.4 A certain wire that weighs 8.5 g/cc has a total mass of 155 kg. Find the volume of the wire in cubic centimeters. Group of answer choices 17235.29 16235.29 18235.29 ANSW 19235.29 The figure represents a rectangular parallelepiped; AD=20 in., AB=10 in., AE=15 in. Find the number of degrees in the angle BOF. PIC 4 Group of answer choices 53 deg 18’ ANBSW 52 deg 18’ 42 deg 18’ 43 deg 18’ Building bricks are closely stacked in a pile 7 ft high, 36 ft long, and 12 ft wide. If the bricks are 2 in. by 4 in. by 9 in., how many bricks are in the pile? Group of answer choices 72226 bricks 72576 bricks ASNW 75576 bricks 72566 bricks If the edge of a cube is doubled, which of the following is incorrect? Group of answer choices The diagonal is doubled The volume is increased 8 times The lateral area will be quadrupled The weight is doubled ASNW

A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The radius of each arch is R, the dimensions of the piers L, W, H, while the distance from the top of each pier to the top of the bridges is D. If L=50 ft., W=5 ft., H=10 ft., R=6 ft., D=12 ft., find the number of cubic yards of material used in building the bridge.

4A-38.PNG PIC 4 Group of answer choices 1100.7 yd3 1400.7 yd3 1300.7 yd3 ANSW 1200.7 yd3 Find the maximum volume of water that can be contained by a cylindrical glass 6 in. high and 3 in. in diameter. Group of answer choices 12.5π in3 14.5π in3 11.5π in3 13.5π in3 ANSW Window glass formerly was made by gathering lump of molten glass on the end of a hollow rod and blowing it into the form of large hollow cylinder about 6 ft long and 1.5 ft in diameter. This was cut longitudinally and then placed in an oven and heated until it softened, when it was flattened out into plates and cut into desired sizes. If this plate was 0.12 in. thick, find the amount of glass in the original lump. Group of answer choices 0.282743 ft3 0.282743 ft3 0.282743 ft3 0.282743 ft3 Given a sphere of diameter d, what is the percentage increase in its volume when the surface area is increased by 21%? Group of answer choices 33 % 10 % ANSW 5 %

21 % What is the transverse axis of the hyperbola whose equation is 16y2 – x2 = 16? Group of answer choices y =0 ASNW x = 16 x = 0 y =4 What is the directrix of the parabola (y - 1)2 = 16x? Group of answer choices (1 , 4) (1 , -4) (4 , 1) (-4 , 1) ANSW What is the center of the circle x2 + (y – 3)2 = 49? Group of answer choices (-3 , 0) (0 , 3) ASNSW (3 , 0) (0 , -3) hat type of triangle is made by the coordinates of these vertices: (0,6), (-5,3), (3,1)? Group of answer choices equilateral triangle isosceles triangle ANSW isosceles right triangle scalene triangle Given three vertices of a triangle whose coordinates are A(1, 1), B(3, -3) and C(5, -3). Find the area of the triangle. Group of answer choices 16 4 ANSW 10 9