3D Geometry Questions

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3D Geometry

Try another similar question , reattempt last question below, or select another question. Ice Cream: An ice-cream cone has a radius of 2.3 cm and a height of 6.7 cm. The cone is filled with ice-cream and one additional scoop in the shape of a sphere with the same radius as the cone is placed on top. What is the amount of ice cream in cubic cm? Round to the nearest hundredth. There are 87.56 * cubic centimeters of ice cream. TIP Enter your answer as an integer or decimal number. Examples: 3,-4, 5.5172

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DE Return Next 1 2 1 point 111 1 2 3 If a company needs to create a box out of a piece of cardboard that has a length of 8 inches and a width of 6 inches. What is the maximum volume of the box? 48 cubic inches ~ 12 cubic inches 4 ~24 cubic inches 5 ~ 144 cubic inches a 6 Previous NE O US 8:30

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students concerning these problems. All solutions must be submitted as a pdf. The answers to problem number 1 should be submitted in terms of tt (decimal approximations not accepted) 1. A right circular cone is placed with the wide, circular side on a table so that the vertex (the sharp point) is up. Assume that the cone is 28 inches high, and that the radius of the circular base is 21 inches. Next, cut off the top of the cone (cutting parallel to the table) at a height which creates a circular cross section of radius 12 inches. You now have what is known as a “truncated” cone. Imagine now that you have a lampshade in the shape of this truncated cone. Inside the lampshade is a spherical plastic ball that houses the light bulb. The spherical plastic ball is completely inside the lampshade, and the ball is tangent to both the circular top and to the circular bottom of the lampshade. Find: (a) The volume of the lamp shade. (10 pts.) (b) The volume of the spherical plastic ball. (4 pts.) (c) The volume of the part of the lampshade that is not occupied by the spherical plastic ball. (6 pts.)

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E Example An artist needs a sheet of copper that can be bent to form a cube. Draw a net the artist can use to make the cube. Imagine cutting a cube apart along some of the edges and unfolding it. Cube Unfolding Net - This net is one possible net for a cube. 7 a. What shapes are in any net for a cube? Explain. b. You could cut the cube in the Example along other edges to make a net with a different arrangement of squares. Draw an example of another net for a cube.

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15 1 point Cool Katz Ice Cream Shop is trying to figure out which cone is the best seller. They will be looking at the design of several different cones. THE REGULAR SUGAR CONE WAS A VOLUME OF 113 CUCCA AND A WEIGHT OF 1207. WAT E THE APPROXIMATE RAPILS OF TE QE? • Another brand of sugar cone has a volume of 21 cubic em and a radius of 4 cm. What is the approximate height of the conte? THEY ARE ALSO LOOKING AT WAFFLE CONES. THE FIRST WAS A RADIUS OF 6 CA AND A ECHT OF 180M. WHAT IS THE APPROXMATE AMOUNT OF ICE CREAM THE CONE CAN HOLD? • The second waffle cone has a radius of 5 em and a height of 20em How much Ice cream can this cone hold? Cool Katz Ice decides to go with the first sugar cone and the last waffle cone. How much more does the waffle cone hold? • If the lee cream above the cone is in the shape of a hemisphere, and the lee cream scooper is a uniform 10 cm In width, how much additional ice cream on the top of the cone? Round to the nearest cubic centimeter. cubic centimeters of ice cream The scoop adds type your answer...

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A right circular cone has a radius of 2x + 4 and a height 1 units less than its radius. Express the volume of the cone as a a polynomial function. The volume of a cone is 'V = 1/3 pi r^2 h for radius r and height h. Enter a as pi.

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3D Geometry

The figure shows a sphere and a plane. When a plane intersects a sphere, which phrase best describes the possible intersections that result? Plane a point or a circle Sphere a circle or an ellipse a rectangle or a point a parallelogram or a point US 5:06 O

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C Math 3 Fall A2 21.22 / 20 of 25 Il Pause A rectangle will be rotated about Line L in the figure below. What best describes the three-dimensional object formed by rotating the rectangle about Line L? O A. solid cylinder O B. solid rectangular prism O C. rectangular prism with a square hole down its length O D. cylinder with a cylindrical hole down its length US O KA C

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Find the measure of 2D, and the perimeter and area of parallelogram ABCD. 8 17 cm 8 cm 28 A 20 cm O 2D = 162°, P = 74 centimeters, A = 340 square centimeters O ZD = 62°, P = 37 centimeters, A = 340 square centimeters O 2D = 62°, P = 37 centimeters, A = 160 square centimeters O 2D = 152, P = 74 centimeters, A = 160 square centimeters -

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Consider the functions y= |x| and y = |x+2 +6. AY 12 (a) Sketch the graph of the pair of functions using a standard window. (b) Describe the transformations used to obtain the graph of the second function from the first function. o s -- (a) Graph both functions on the same coordinate grid. Click to enlarge graph

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O POLYGONS AND QUADRILATERALS Classifying parallelograms True or False? True Every parallelogram is a quadrilateral. False True Every rhombus with four right angles is a square. False True Every square is a parallelogram. False Every quadrilateral is a rectangle. True False X s ?

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In the figure below, points H, M, N, and Klie in plane Z. Points J and L do not lie in plane Z. For each part below, fill in the blanks to write a true statement. H. K (a) Point H and line 7 are coplanar. (b) Another name for plane Z is plane ] (c) MN and i are distinct lines that intersect. (d) L, , and are distinct points that are collinear. M N