17(L) 10 Find the volume of the hexagonal pyramid. (Round to the tenths place)

Q: A spherical ball is placed in a cube shaped box as pictured. The sphere touches the faces of the box…

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Q: The hypotenuse is √7 br. a right triangle, which is rotated around one of its perpendicular sides.…

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Q: 4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show…

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Q: The art museum has a statue in the shape of a triangular pyramid. The dimensions of the statue are…

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Q: A metal ornament is made in the shape of a cone with radius 4.7 cm and height 8.3 cm A.) find the…

A: Given that, a metal ornament is made in the shape of a cone with radius 4.7 cm and height 8.3 cm.

Q: 4. The base of a solid is a disk of radius a. Each vertical cross section is an isosceles right…

A: We have: Base of a solid is a disk of radius 'a' Each vertical cross section is an isosceles right…

Q: Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

A: When the carton is uncovered from the top, the total surface area of the carton will be:…

Q: Your friend is out sick and missed the lesson on finding the volume of oblique prisms. Summarize the…

A: We can find the volume of the given oblique prism as below.

Q: A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the…

A: Given, A right triangle ABC with sides 5 cm, 12 cm, and 13 cm is revolved about theside 12 cm.

Q: Find the volume of the solid formed by rotating the red rectangle around the X-axis (round to the…

A: If we rotate the red rectangle around the X-axis, then it will create a cylinder with radius= 3 and…

Q: Suppose a snow cone has a paper cone that is 8 centimeters deep and has a diameter of 5 centimeters.…

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Q: 2) A rectangular sheet of perimeter 39 cm and dimensions x cm by y cm is to be rolled into a…

A: Perimeter of the rectangular sheet is 39 cm and dimensions of sheet are x cm×y cm. ⇒2x+2y=39 The…

Q: A can of soda is 4.8 inches tall and 2.5 inches in diameter.  Let's assume the can of soda is a…

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Q: 20) In a right regular pentagonal pyramid, suppose that each base measures 4 cm and that the apothem…

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Q: A soccer ball is packaged in a cube-shaped box. 20 cm 10 cm 20 cm -20 cm- Which is closest to the…

A: Mensuration Question

Q: 6. A box with a square box and an open top has a surface area of 1875 square cm of material. Find…

A: Since, the box is an open box at the top, hence it will contain only 5 faces. The surface area for…

Q: Q:3) Find the volume of a sphere of radius r.

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Q: A lateral edge of the frustum of a regular pyramid is 1.8m long. The upper base is a square 1m by 1m…

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Q: 25. A rectangle has dimensions of 6 in. by 3 in. Find the exact volume of the solid of revolution…

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Q: a. Find the volume, correct to the nearest cubic centimeter, of a sphereinscribed in a cube with…

A: (a) Each side of the cube measures 6 cm. Then the diameter of the inscribed sphere will be 6 cm.…

Q: 2. A right triangle with hypotenuse of 5V3 cm. is revolved about one of its legs to generate a cone.…

A: Given,          Let r, h, and V be the radius, height, and volume, respectively

Q: Find volume of the largest regular pyramid of square base that can be cut from s cube of edge “a”…

A: The largest pyramid in a cube is such tha one of the faces of the cube is the base of pyramid  Edge…

Q: The diagram shows an igloo which consists of a hemispherical shell of outside radius 2 m and inside…

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Q: 2) Find the volume of the figure below. It is a cylinder surmounted by a cone. 17 m 12 m 6 m

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Q: Q1:A solid carton made from a 2700 cm' of paperboard, as shown in the figure. if the carton is…

A:

Q: 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping…

A:

Q: Fine the volume of the composite figure if the sphere is removed from the cube.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Consider a rectangle of perimeter 12 inches. Form a cylinder by revolving this rectangle about one…

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Q: A cardboard box manufacturer wishes to make open boxes from pieces of cardboard 12 cm square by…

A: Assume length of corner cut = x

Q: A bead is formed from a sphere of radius 130 by drilling through a diameter of the sphere with a…

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Q: 14. he areas of cut of two irregular sections 60 mapart are 32 m2 and 68 m2 respectively. The base…

A: The areas of cut of two irregular sections 60m apart are 32m2 and 68m2 respectively. The base width…

Q: A3) Find the Volume of the solids genereted by revoluing the Yegions boun ded by the carve リニ2 and…

A: Volume of solid of revolution  The volume for the solid of revolution between curves is the volume…

Q: 1. A box with a square base is to have an open top. The area of the material for making the box is…

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Q: 12. The cylinder to the left contains two congruent hollow cones. If the cylinder's height is 20…

A: As per our guidelines I am solving only first question please resubmit other question.  Given height…

Q: 7. A right circular cone has a diameter of 18 inches and slant height of 15 inches. Determine the…

A: CONE Diameter = 18  inches slant height = 15 inches volume of cone = ?

Q: 1. Karla has 1200 cm? of material available to make a box with a square base and an open top. Find…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 20. What is the volume of the triangle below if rotated half-way around the y-axis2 A 5 MathBits.com…

A: We have to find the volume triangle if rotated half way around y axis

Q: A regular hexagonal pyramid has base edge 7 cm and height 10 cm. Find the volume of the pyramid.

A: We can find the volume as below.

Q: 1. Find the volume of a cone with radius 7 cm and height 15 cm. Give your answer in terms of rt

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Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: 2. Find the largest volume of a cylinder that fits into a cone has base radium R and height

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Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

Q: 5. A solid is formed by cutting a conical section away from a right circular cylinder. If the radius…

A: Find the volume of the resulting solid.

Q: Use calculus to find the volume of a tetrahedron​ (pyramid with four triangular​ faces), all of…

A: Given that tetrahedron has edges with length, a = 17. Area of base will be…

Q: Rectangle ABCD is rotated about side AB. D 13 in. 5 in. A B. What is the volume of the solid formed?

A: Given rectangle ABCD of length 13 inches and breadth 5 inches When rectangle is rotated about AB ,…

Q: FT- CUBE 12.7 in. Find the volume and total surface area of the cube in the figure inscribed in a…

A: Given:-   To find:- Find the volume and total surface area of the cube in the figure inscribed in a…

Q: 6. Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to…

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Q: Find the volume of the solid formed by rotating the blue triangle around the X-axis (round to the…

A: First we have to find the equation of given at blue part Given in point (4,3) point and (0,0) at…

Q: A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal…

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Q: 2. The figure shown is created by joining two right rectangular prisms. 3 cm 10 cm 5 cm cubic…

A: The detailed solution is given below Thank you

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.