rectangle and a horizontal line segment are shown. what is the resulting solid when the rectangle is rotated around the horizontal line segment?

Q: The incenter of a triangle is equidistant from its sides. true or false?

A: Ans--- TRUE  The incenter of a triangle is the point on the interior of the triangle that is…

Q: What is the spherical excess of a 600 cu cm spherical pyramid extracted from a sphere of radius 10…

A:

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from the base…

A: Given that a flashlight shaped like parabloid  has its light source at the focus located 1.5cm from…

Q: A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm…

A:

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side…

A: Volume of pyramid=13Area of basexheight 96=1362 x h h=96 x 36 x 6 h=8 cm

Q: The pyramid shown has a square base with sides 10 cm and the other edges all 13 cm long. Find the…

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Q: A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a solid cone…

A: Given: radiusr and heighth of cylinder is 6cm and 18cm respectively Now, we know that if a solid…

Q: Given the geometric solid figure, describe the two-dimensional figure that is created by the cross…

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Q: What is icosahedron?

A:

Q: The base of a solid is an ellipse whose major axis and minor axis are 12 cm and 8 cm long,…

A:

Q: A spherical sector has a volume of 300 cubic meter. What is the radius of the sphere if its sphrical…

A: area of the spherical sector = area of zone × radius /3

Q: A three dimensional solid is created by rotating a circle about one of its diameters. What is the…

A:

Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: A rectangular prism of metal having dimensions 4.3 cm by 7.2 cm by 2.4 cm is melted down and recast…

A:

Q: The base of an object is an ellipse with axis lengths of 10 cm and 8 cm.Since the intersection of…

A: Given that: The base of an object is an ellipse with axis lengths of 10 cm and 8 cm.Since the…

Q: Which figure below cannot form an irregular tessellation?

A: Tessellation is covering of a flat surface with a patter of shapes without overlaps or any gaps…

Q: Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: In order to between the tank and part of fence, formula for area of a sector has to be used. Area of…

Q: Identify the basic shape that is being tessellated

A: tesselation is  repeating of some geometric figures without any gap  between them. A.figure can be…

Q: A grain silo consists of a main part which is a cylinder, topped by a hemispherical roof. Suppose…

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Q: Which is a possible cross section of a cylinder?

A:

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: A plane parallel to the base of a pyramid separates the pyramidinto two pieces with equal volumes.…

A: Since,we have been given that a plane parallel to the base of pyramid seperates the pyramid into two…

Q: Which is greater, the surface area of a cone of height 10 and radius 20 or the surface area of a…

A: The dimensions of first cube: Height is h1=10 units Radius is r1=20 units The dimensions of second…

Q: A triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area…

A: Given data: The side of the equilateral triangle base is a=10 cm. The surface area of the triangular…

Q: A wooden column has the form of a regular Hexagonal prism. Its base edge is 2 ft. and its height is…

A:

Q: Find the surface area of the composite solids.

A: We have been given a figure which consists of 2 cones and a cylinder and we have to find the total…

Q: An octahedron and its net are shown below. All the faces are the same size and shape. What is the…

A: Here given that  an octahedron. All the faces are the same size and shape. Here we have to find the…

Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of…

A:

Q: The spherical degree of a lune is 75 degrees and its area is 163.62 sq. cm. What is the radius of…

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Q: Determine the lateral surface area of a truncated circular cylinder whose longest and shortest…

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Q: A right rectangular prism has a height of 12 cm and a base of 8 cm by 10 cm. The prism is cut…

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Q: Find the volume of a cone to be constructed from a sector having a diameter of 72 cm and a central…

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Q: A regular hexagonal pyramid has one lateral edge which measures 10 cm. The length of one side of its…

A:

Q: How to calculate the volume of a complex 3D figure that has both spherical and flat parts?

A: Given: A complex 3D shape has both spherical and flat part. To determine: Method for finding volume…

Q: A regular hexagonal pyramid has one lateral edge which measures 10 cm. The length of one side of the…

A: Let's find.

Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

A:

Q: 14. The Transamerica building is located in San Francisco, California. Which geometric solid would…

A:

Q: What is the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a slant…

A: We have to find the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a…

Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

A:

Q: The solid shown in fig 1 has two parallel bases. Plane BFHC forms a dihedral angle 50 degrees with…

A: Area of prism = Base area ×Length of prism = Area of trapezium ABCD ×CH

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A:

Q: What is the difference between a dome and a sphenoid?

A: difference between a dome and a sphenoid

Q: 1.Eepress 5 in a. rectangular form

A:

Q: suppose a sphere of radius 9 is sliced by two horizontal planes such that the resulting three solids…

A: We will use formula for surface area of sphere with radius R =4πR2 Surface area of cap of a sphere…

Q: The model of a pyramid has a hexagonal base with sides of 8 inches and a height of 15 inches.…

A: Given that the sides of a hexagonal pyramid is  a = 8 inches Height of the prism h = 15 inches

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: To find the height of the centre of the rail rise above the ground.

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side.…

A: Volume of pyramid

Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

A: Consider the given figure. Given that height of the spherical segment h=5 cm And volume V90 cubic…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.