Two similar trapezoids have areas of 180 cm2 and 45 cm2. What is their ratio of similarity? O A. 1:2 о в. 1:4 о с. 2:1 O D. 4:1

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area  of sphere =4πr2

Q: A machinist is required to manufacture a circular metaldisk with area 100 cm2 .(a) What radius…

A: Let the radius = r cm  So the area is =πr2 cm2 .

Q: the volumes of two spheres are in a ratio of 1 : 8. what is the ratio of their radii?

A: Volume is the space covered in three dimensional by the object or any geometric figure. It is the…

Q: Calculate SA/V ratio for a sphere with a radius of 4.

A: The required ratio to be calculated is the ratio of surface area of the sphere to the volume of the…

Q: 2. An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the…

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Q: A cylindrical can has a radius of 5inches and a height of 7inches . A rectangular prism has the same…

A: cross section area of cylinder

Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: Two similar solids have a scale factor or 6: 7. What is ratio of their volumes, expressed in lowest…

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Q: In AKLM, the measure of ZM=90°, KM = 40, LK = 41, and ML = 9. %3D What ratio represents the tangent…

A: SOLUTION-

Q: The area of the lune is given at 25 sq. cm. If it is 1/8 of the total surface area of its mother…

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Q: A round table has six equal designs as shown in the figure ,If the radius of the table top is 14 cm…

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Q: Two similar pyramids have a surface area ratio of 81:29. Find the volume of the smalller pyramid,…

A: for two similar solidscale factor =abRatio of the Surface Areas=ab2Ratio of volume =ab3

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

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Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

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Q: 5. A soft drink cup is in the shape of a right circular cone with capacity 250 mL: If the radius of…

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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 mid-section area of the prismatoid if its volume is 1200 cm3 the height is 18cm, the lower…

A: The volumeV=h6·U+4M+L of the prismatoid is

Q: If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area…

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Q: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15…

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Q: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

A: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

Q: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch…

A: Given- Material that cost for lateral surface area is 1 cent per square inch and for base it is 2…

Q: A flower pot has a vertical front view as in Figure 6. The outer surface is to be painted. 5 cm 7 cm…

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Q: 22. What is the volume of a spherical segment with a height to diameter ratio of 0.2?

A: Volume of the sperical segment is given by

Q: A trapezoid has bases measuring 1.3 meters and 2.1 meters with a height of 1.1 meters. What is the…

A: According to the question, we have given that the lengths of the bases are 1.3 m and 2.1 m. So we…

Q: A cone was created by rolling a thin sheet of metal into the shape of a 72cm diameter sector of a…

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Q: A cone has a height of 8 inches and a volume of V = 24 in^3. What is the surface area of this cone?

A:

Q: A cone and a cylinder each have radius of 3 and height 4 - ratio of 3:4. what is the ratio of their…

A: given,       A cone whose radius=3 and height =4A cylinder whose radius=3 and height =4

Q: According to Cavalieri's Principle, which pair of shapes would have equal volumes?

A: the volume of the cone, pyramid , cylinder , sphere , rectangular prism , are given by  volume of…

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm2 the height is 18cm2 , the…

A: Volume of prismatoid is given by  V=16hA1+M+A2 where h denotes the height of prismatoid, A1 is the…

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

A:

Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

A: Given r1=3 ft. and r2=3.04 feetWe know the area of sphere is 4πr2Diffrence in area=A2-A1…

Q: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

A: Given:- Height of the cylinder = 1ft   Surface Area of the cylinder = 12π Sq.ft

Q: A semielliptic archway has a height of 15ft at the center and a width of 50 ft. The 50 ft width…

A: Given Data The height of the semi-elliptic archway is c=15 ft. The width of the semi-elliptic…

Q: Two identical cylinders are tightly packed side by side in a box 12 cm by 6 cm and 4 cm height. Find…

A: To determine the ratio of the volume of the box to the volume of the cylinders.

Q: A regular pentagon has sides of 20 cm. an inner pentagon with sides of 10 cm is inside and…

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Q: A spherical gas tank is 16 m in diameter. a) What is the capacity of the tank ?. b) The external of…

A: given,       spherical tanks diameter = 16 m          i. e. radius = 8 m

Q: heigh

A: We have a right circular cone with height 6.8cm and radius is 3.32=1.65cm. This cone is inverted…

Q: - 1)? + (y + 2)? + (z – 4)? = 36 For the spheres (x and x? + y + z? a) surface areas. b) volumes.…

A: The generel sphere equation is x-a2+y-b2+z-c2=r2where a,b,c-centre and r-radius.Surface area of the…

Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

Q: 1. Find the lateral area of the square pyramid. 2,5cm

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The volumes of two similar rectangular solids are 1000 cm3 and 64 cm3. What is the ratio of their…

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Q: 46. Two similar cylinders have heights of 3 cm and 4 cm. What is the ratio of their volumes?

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Q: A prism with a hexagonal base whose sides measure 4 mm, apothem measures 2.83 mm, and height…

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Q: 4 A trash bin is a right rectangular prism with a width of 2 ft, a length of 1 ft, and 8. a volume…

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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: You reduce a sphere in surface area to make a new sphere that is equal to 676Tt cm2. If the ratio of…

A: Here we use the formula of surface area of sphere =

Q: - and a cone have congruent heights and radii. What is the ratio of the volume o the volume of the…

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Q: 9. A cone has a circular base with a diameter of 18 inches and has a height of 12 inches. To the…

A: The lateral area of cone is given by AL=πrh2+r2.

Q: What is the volume ratio between the spheres shown?

A: given,

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

A: