The figure below shows a cylinder with two hallow congruent cones removed. If it is 20 inches tall, and the diameter is 14 inches. What is the volume and surface area of the solid figure that remains?

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: The volume of a hemisphere is 2425 (1/2) cm3 Find its curved surface area ?

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Q: shown in

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Q: Solve the surface area and volume of the following solid figures 1. 10 in. 3 in.

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Q: A right square pyramid and its dimensions are shown below. 4 m ...... - 2.5 m - Which of the…

A: NOTE: Refresh your page if you can't see any equations. . given data: the base length of the pyramid…

Q: Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

A: Given: Radius of base circle r=2.886 cm Height of pyramid  h=7 cm

Q: The image below shows a square pyramid being pushed into the corner of a box. If the pyramid has a…

A: We need to find volume of pyramid.

Q: Find the volume of the square pyramid below

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Q: When a body is immersed in wate in a right circular cylinder 60 cm. i diameter, the level of the…

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Q: A manufacturer drills a hole through the center of a metal sphere of radius 5 inches, as shown. The…

A: Given: To Find: The Volume of the resulting metal ring. Concept: Method of Cylindrical Shell: Let…

Q: What is the volume of this triangular right prism 6.5 ft 6 ft- 11 ft 5 ft A 165 ft3 B 330 ft3 1, 073…

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Q: Find the surface area for the composite figure which is a cylinder with a hemispherical hole. Leave…

A: Given: - The figure is, To find: - The surface area for the composite figure which is a cylinder…

Q: A Sno-Cone at the carnival has the shape of a hemisphere on top of an inverted cone. What is the…

A: Volume of snow cone = Volume of cone + Volume of hemisphere

Q: The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

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Q: Find the height of a cone with a volume of 230 3 in and a diameter of 14in. Use 3.14 as IT in

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Q: Find the volume of the following composite figure where a cylinder, with a height of 9 ft and a…

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Q: What is the volume of the rectangular prism shown below?

A: volume of the prism = length *breath*height

Q: The composite figure below contains a rectangle, an isosceles trapezoid, and two equal parts of a…

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Q: Find the volume of a hexagonal prism with height 13.0 inches and side 10 inches. Hint: You need to…

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Q: A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the…

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Q: 10. Find the volume of a right circular cone. (Start by designating a rectangle, and revolving the…

A: Assuming the rectangle has length 'l' and width 'b' OABC→Rectangle each angle is 90°oppposite sides…

Q: The shaded pyramid in the diagram is cut from a rectangularsolid. How does the volume of the pyramid…

A: Let the length, width and height if the rectangular solid be l,band h. Then the volume of the…

Q: A playground has a tunnel in the shape of a triangular prism. What is the volume of the tunnel?

A: The formula of triangular prism is 12x base x height x length of tunnel =12 x 3 x 4 x 11=66

Q: This oblique cylinder has a volume of 90 m³ and a base area of 12 m². 12 What is the height of the…

A: Given, Volume of oblique cylinder V=90πm3 Base area is (B)=12πm3

Q: Find the total surface area and the volume of a spherical sector if the radius of the sphere is…

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Q: Find the surface area of a sphere, given that its volume is 970cm3

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Q: 2 km 11km 6 km 11 km 2 km

A: The given shape is rectangular shape . The length , width and height are given.

Q: A regular hexagonal pyramid whose base perimeter is 1 cm has an altitude of 2cm. The volume of the…

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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: A store owner is stacking toasters that come in boxes measuring 1 cubic foot each, as shown below.…

A: From the figure we get that Length l = 5 ft Breadth b = 3 ft Height h = 3 ft.

Q: Two similar cones have areas of 16n in² and 49n in?. If the Volume of the larger cone is 1250 in³,…

A: According to the problem, we have

Q: c) The length of a rectangular solid is 14 in., the width is 10 in., and the height is 6in. Find the…

A: The given rectangular solid is a cuboid. It is given that the length is 14 in, the width is 10 in…

Q: Find the volume of the composite figure where a cylinder, with a height of 4 in and a diameter of 2…

A: we know that, volume of cube = length3   volume of cylinder = πr2h

Q: The formula for the volume of a cone is most closely related to which of the following…

A: The formula for the volume of a cone is most closely related to which of the following…

Q: An Ice cream cone is 10 centimeters deep and has a diameter of 8 centimeters. A scoop of ice cream…

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Q: A powdered drink mix container is in the shape of a right circular cylinder. The dimensions of the…

A: The container is in the form of a cylinder Here diameter is 6 in , Radius is diameter divide by 2…

Q: A) The be dabove is a rectangular prism that is 17 millimeters long, 9 millimeters wide, and 5…

A: Given data: The given diameter of the hole is d=3 mm. The given length of the prism is l=17 mm. The…

Q: Find the height of the prismatoid with a volume 64 if the base areas are 8 cm^2 and 22 cm^2, if the…

A: Given Information - Base area of prismatoid =  8 cm2 and 22 cm2  Area of mid section = 10 cm2…

Q: A wooden block is in the shape of a square pyramid. The square base is 5 cm by 5 cm, and the pyramid…

A: Total surface area

Q: Find the volume of a sphere with radius 5 cm is

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Q: The image below shows a square pyramid being pushed into the corner of a box.If the pyramid has a…

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Q: What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square…

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Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

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Q: Find the volume of the pyramid if the volume of the prism is 1,215 m3. Assume the given dimensions…

A: Given figures have of  equal base area and height,

Q: ind the volume of a can of soda if the diameter of the base is centimeters and the height is 33…

A: To solve the following problem

Q: Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a…

A: Given,  A pyramid  with square base of side length = 4 units  and Height = 10 units  We have to find…

Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: A sphere is inscribed in a right circular cone whose slant height has alength equal to the diameter…

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Q: A cocktail glass with a bowl shaped like a hemisphere with diameter 8 cm contains a spherical cherry…

A: Given that, x2+(y-4)2=42 x2=16-(y-4)2 x=16-y-42 From the washer method,…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.