A cone has a radius of 9 and a height of 6. What is the volume?

Q: A cone has a base area of 7 pi square cm and a height of 9 cm. What is the volume of a triangular…

A: The naming of the pyramids is based on the number of sides of the base. If the base has 3 sides that…

Q: 7) Given the similarity ratio between two octagons is and the perimeter of the smaller octagon is…

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Q: Two cubes have sides of lengths 5 cm and 8 cm. What is the ratio of their respective volumes? Their…

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Q: The volume of the frustum of a regular triangular pyramid is 135 cu m. The lower base is an…

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

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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: In the accompanying regular pentagonal prism, suppose that each base edge measures 8 in. and that…

A: Given  base edge = 8 in apothem = 5.5 in  height = 10 in

Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: The volume of a sphere is 343n cm3. If you enlarge the radius of the sphere by three times, what…

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Q: The net of a rectangular prism and its dimensions are shown in the diagram. 7.5 in. 7.5 in. 3 in. 3…

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Q: The volumes of two similar solids have an 125: 216 ratio. What is the ratio of their side lengths? O…

A: Volume of solids is directly proportional to the cube of the side length

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: In the regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base…

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Q: . The ratio between the curved surface area and the total surface area of a right circular cylinder…

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Q: A rectangular prism has a length of 9, width of 6, and height of 3. What is the volume of the prism?

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Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

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Q: The monument of Cestius in Rome, which is a square pyramid 121.5 ft. high with a base edge measuring…

A: given base=b=98.4 and heighy=h=121.5

Q: 5) The volumes of two similar solids are 125 cm³ and 64 cm³. a) What is the ratio of their heights?

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Q: Find the similarity ratio of a prism with the surface area of 81 m to a similar prism with the…

A: Given: Similarity ratio of a prism with the surface area of 81 m2 to a similar prism with the…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 9 in. and that…

A: Given,  Length of base edge (b) = 9 in Altitude of prism (h) = 10 in Apothem of the base = 6.2 in

Q: The surface area of two similar solids are 45cm2 and 320cm2. 1. What is the scale factor? 2. What is…

A: consider scale factor is ab

Q: What is the (a) curved surface area of the cone (the base is not included) if the radius is 10cm and…

A: We know that curved surface area of cone = πrl , here l is the slant height and r is the radius Area…

Q: 17.Find the volume of given prism.

A: Volume is Area*height Let's find the area of the hexagon first. Area of a hexagon with side 7 yard…

Q: 4. Find the ratio of the volumes of two similar figures in which the ratio of the pair of…

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Q: 4) The base edge of a square pyramid is 12 cm. the slant height is 10 cm. Find the Volume of the…

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Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

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Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

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Q: If the volume of two similar spheres are 128m³ and 1458m3 1. What is their scale factor? 2. What is…

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Q: The volume of a sphere is 904.78 m3 . Find the volume of the spherical segment with one base and of…

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Q: 2. In the part shown to the right, all dimensions are in inches. a) What is the total length of this…

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

A: GIVENslant height  length = diamter of sphere=diamter of cone17 cm=diamter of sphere

Q: 2) Find the radius of a cylinder with a volume of 339.1 in and a height of 12 in. 3) Find the radius…

A: (2) Volume of cylinder is given by               v = πr2h  Where r = radius of cylinder…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: THE BASE OF A REGULAR PYRAMID IS A REGULAR HEXAGON, EACH OF WHOSE SIDE IS 6 cm. IF THE SLANT HEIGHT…

A: Topic = Measuration

Q: The frustum of a regular triangular pyramid has equilateral triangles for its bases. The lower and…

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Q: 8. If a cube has a surface area of 216 cm2, what is its volume? 729 cm3 216 cm3 54 cm3 36 cm3

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Q: A square based prism and a cylinder both have the same height of 4 cm and the same base area. If the…

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Q: 12. Find the volume of the given pyramid, which has a square base of area 9 and height 5. 3

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

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Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Let s be the semi-perimeter of  the triangular base of the prism. Then, s=9+15+122=18 in. Therefore…

Q: Two cubes have sides of lengths 7 cm and 6 cm. What is the ratio of their respective volumes? Their…

A: Solution ---------------  Given that  lengths of sides of two cubes 7,6 Volume of a cube = l3 Let…

Q: The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: One regular triangular pyramid has base edge 8 and height 6. A similar pyramid has height 4.a. Find…

A: Given: The base of large pyramid =8, Height of large pyramid =6, and Height of the smaller pyramid…

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: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

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Q: The distance between the centers of two adjacent faces of a cube is 8 cm. What is the length of the…

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Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and…

Q: 6. What is the volume of the square pyramid with base edges 4 m and height 3 m? 3 m 4 m 4 m 8 m3

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Q: From the upright prism ABC.DEF, it is known that the area of ABC = 15 cm2 and the area of triangle…

A: We can find the volume as below

Q: 3. Find the volume of a cylinder with a diameter of 90cm, and height of 1m. 4. Find the depth of a…

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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.