a) In terms of x, what is the equation of the volume of the box?

Q: A sphere has a radius of 9 inches. what is the volume of the sphere in cubic inches in terms of

A:

Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches     Find How…

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: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

A:

Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: The volume of a cylinder is 72 m and the radius is 3 m. What is the height of cylinder?

A: GivenVolume of the cylinder = 72 m^3and Radius of the cylinder = 3 m

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

A:

Q: In constructing an open rectangular box from 867 ft of material, what dimensions will result in a…

A:

Q: A tank with rectangular base and sides and open at the top, is to be constructed so that its depth…

A:

Q: The base areas of a frustum of a cone are 25 sq.cm. and 16 sq.cm., respectively. If its altitude is…

A:

Q: write a formula that expresses a volume V of the cube in terms of its side length X

A:

Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

Q: In trapezoidal formula, volume can be over estimated. False True

A: The given statement is true or false. Statement: In the trapezoidal formula, the volume can be…

Q: A rectangular solid has a volume of 24 cubic decimeters . the length width and height are all…

A:

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

A:

Q: In constructing an open rectangular box from 75 ft² of material, what dimensions will result in a…

A:

Q: the volume of a sphere whose radius is 2cm is four times that of a sphere whose radius is 1cm true…

A: Given,         The volume of a sphere whose radius is 2 cm is four times that of a sphere whose…

Q: A cardboard box without a lid is to have volume 100 cubic inches with the total area of cardboard as…

A:

Q: In constructing an open rectangular box from 300 ft² of material, what dimensions will result in a…

A:

Q: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

A:

Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

Q: The volume of a rectangular solid is (x³ + 3x² + 2x – 5) cubic cm, and its height is (x + 1)cm. What…

A:

Q: In constructing an open rectangular box from 192 ft? of material, what dimensions will result in a…

A:

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

A:

Q: Suppose that the radius and height of a cylinder must add to be 15 cm. What radius and height will…

A:

Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: True or False The surface area of a rectangular prism is 2,280 square feet. If the width and height…

A: Rectangular PrismGiven:- Surface Area = 2,280L = 24, W = 20, h = 15∴ Formula, Surface Area (SA)SA =…

Q: Suppose planet A's diameter is approximately 6 times planet B's and bodies are spheres. What is the…

A: suppose plant A's diameter is approximately 6 times plant B's and bodies are spherewhat is the ratio…

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

A:

Q: the length of a side of a cube is equal to the radius of a sphere. which solid has the greater…

A: The length of a side of a cube is equal to the radius of a sphere. Let x be the side of a cube, then…

Q: In constructing an open rectangular box from 48 ftf of material, what dimensions will result in a…

A:

Q: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

A:

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: NOTE: Refresh your page if you can't see any equations. . here we have and in the question given…

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: If you double the length of the radius of a sphere from its original length, what effect does that…

A: Given that: Length of radius of a sphere is doubled.

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Given:  Let the lenght of of the package= x                   the radius of of the package= r…

Q: If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

A: edge of a cube=8cm  volume of cube =(edge of a cube)3  volume of cube=(8)3  volume=512 cm3

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

A:

Q: According to Cavalieri’s sensible how would you compare the volumes of the stack of coins?

A:

Q: Find the increased in volume of a cylinder if the radius will be doubled and the altitude will be…

A:

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

A:

Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

A:

Q: b) A rectangular sheet of metal with perimeter 14cm is rolled into a cylinder. What dimensions of…

A:

Q: A cylindrical pitcher has a volume of 60 cubic inches. Andrea pours lemonade into conical glasses…

A: The volume of a cone is given by the expression V=13πr2h. Here, r is the radius of the cone and h is…

Q: The volume of a cube is reduced by how much if all sides are halved?

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

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.