How do the changing SA/V ratios for spheres of differing radii compare to the relationship of SA/V ratios of cubes with different side lengths?

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to…

A: Base on the general formula of the work we will calculate the total work required for pumping fluid…

Q: A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that…

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Q: In AKLM, the measure of ZM=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the %3D cosine…

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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: How can I calculate the cross-sectional area of ​​a cone with vertex up?

A: Vertical Cross section of right circular cone is circle. Area of the circle is π (radius)2 Let the…

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: A frustum of a cone has base radii 2 and 5 and height h=4 h What is the surface area of the frustum…

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

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Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: A sphere has a diameter of 28 ft. What is its surface area? The surface area of the sphere is ft.…

A: A sphere is the locus of points in 3-dimensional space which are equidistant from a fixed point.…

Q: The ends of a trough are equilateral triangles having sides with length 4 ft. Determine the area of…

A: Equilateral triangle is a triangle with length of sides equal, and all angle equals to 60°. Area is…

Q: A soup can has a height of 4 cm and a radius of 3 cm.  The amount of soup the can hold is…

A: topic - volume of cylinder

Q: Calculate the SA/V ratio for a sphere with a radius of 1.

A: Given:

Q: Two cones have radii 6 cm and 9 cm. The heights are 10 cm and 15 cm.respectively. Are the cones…

A: Two cones are similar if the ratio of their radii is equal to the ratio of their heights. It is…

Q: A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m (as…

A: Given A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m.

Q: a). A compound parabolic collector, 2 m long (L), has an acceptance angle (20₂) of 30°. The absorber…

A: Given:        Acceptance angle 2θa=30°        Length =2 m        Width =20 cm Concentration ratio…

Q: 16) The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches. (a) What is volume…

A: The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches.A wedge is cut from the…

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: A) Give the area of the shaded region. B) Give the surface area of a cylinder (A tube with a…

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Q: The ratio of the areas of two circles is equal to the ratio of their radii. true or false?

A: According to given, Let the radius of circle1 be r1. The radius of circle 2 be r2. Therefore, Area…

Q: A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up…

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Q: The sum of the radii of two spherical balls is 22 cm and the difference of their volumes is 2 3050…

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Q: The base of a regular pyramid is an equilateral triangle each of whose sides measure 12 cm. The…

A: Given: The base of a regular pyramid is an equilateral triangle each of whose sides measure 12 cm.…

Q: The difference between the outside and inside surface of a cylindrical metallic pipe 14 cm long is…

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Q: Find the radius of a circle whose area equals the sum of the areas of two circles with radii 3 in.…

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Q: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. What are…

A: given: A trapezoid has an area of and an altitude of 2m. the two bases of the trapezoid have ratio…

Q: what is the difference between the formulas of arc length and the area of a surface of revolution?…

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Q: Stephen is comparing two solids. The first solid is a cone with a radius of 5 cm and a height of 9…

A: Given,         The first solid is a cone with a radius of 5 cm and a height of 9 cm.         The…

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: The lateral area of a cone with a diameter of 10 centimeters is about 250.5 square centimeters. To…

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

Q: What is the shape of the horizontal cross section of this solid figure?

A: The given figure is a triangular prism.

Q: A whispering gallery has semmielliptical ceiling that is 9m and 30m.How high is the ceiling above…

A: A whispering gallery has semielliptical ceiling that is 9m high and 30m long. Since the height is…

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

A: Volume of the cylinder is V=πr2h where, r is the radius and h is the height of the cylinder.

Q: By integrating surface element of a sphere, find area of a strip on the surface of a sphere from 8=…

A: To Find: Area of a strip on the surface of a sphere from θ=45° to θ=135°, where Radius of the sphere…

Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: 21. Describe the cross section of the rectangular prism.

A: To describe cross-section of the rectangular prism.

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

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Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

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Q: The radii of the internal and external surface of a metallic spherical shell are 3 cm and 5 cm…

A: First, finding volume of shell and then volume of cylinder

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: What is the cross section perpendicular to the base of a cone?

A: To find the cross section perpendicular to the base of a cone

Q: A circular cone is 10 cm wide at the base and has a slant height of 8.5 cm. Determine: a. Volume of…

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

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

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Q: The slant height of a right circular cone is 5m long. The base diameter is 6m. What is the lateral…

A: Given that, The slant height of a right circular cone is 5 m and the base diameter is 6m. We have to…

Q: 3. Is there a difference between the values of the ideal diameter and the actual diameter? Why?

A: 3 We have to write the difference between the values  of the ideal diameter and the actual diameter,…

Q: The radii of the internal and external surface of a metallic spherical shell are 3 cm and 5 cm…

A: Consider the handwritten solution.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.