A paint manufacturer desires a cylindrical steel drum to hold 50 gal. of roof paint. For convenience in handling, it is found necessary to limit the inside diameter to 2 ft. Find the height of the drum desired. (1 gal. = 231 in3.)

Q: A concrete forming "paper" tube is used to void a column as shown. The walls must be 3.00 in. thick,…

A: The solution is given below

Q: A display case is made of one rectangular prism stacked on top of a second rectangular prism. 4 ft 3…

A: Given

Q: The base of a pyramid has an area of 48 in².  If the height of the pyramid is 12 in, what is the…

A:

Q: What is the volume of a cylinder, in cubic ft, with a height of 17ft and a base diameter of 6ft?…

A: We have given  h=17 ft  base of diameter D=6 ft⇒r=D2=62=3 ftthe volume of…

Q: Given a cylinder with a base area of 144π in² and the height that is twice the radius. Find the…

A: The lateral surface of an object is the area of all the faces of the object, excluding the area of…

Q: Find approximately the volume of wood required to make a cubical box of edge length 6 ft. using…

A:

Q: A cylinder has a base diameter of 16in and a height of 5in. What is its volume in cubic in, to the…

A: The volume of the cylinder is given by: V=πr2h, where r is the radius and h is the height of the…

Q: оо

A:

Q: Two similar pyramids have lateral areas 8 ft 2 and 18 ft 2 If the volume of the smaller pyramid is…

A: If we let "s" be the length of a side in the smaller pyramid and "S" be a length of a corresponding…

Q: 4. A paint manufacturer needs a cylindrical steel drum to held 200 liters of roof paint. For…

A:

Q: What is the volume, in cubic in, of a cylinder with a height of 15in and a base radius of 5in, to…

A:

Q: A pyramid shaped building is 870 ft tall with a square base that is 132 ft on each side. What is the…

A: The volume of a pyramid is: V=13Bh                   ...(i) Where, B is the base area of the…

Q: Find the volume of a pyra square base, where the pe base is 15.8 ft and the he ovramid is 20.4 ft.…

A:

Q: What would the volume of the tank be if it were solid? Consider the radius of the full tank. Round…

A:

Q: Find the volume of the cone to the nearest tenth with a digmeter of 2 ft and a height of 8 ft. 8 ft…

A:

Q: Given the mass of a material to be 100 grams and a density of 4g/cc, compute the sphericity if the…

A: Using spericity formula

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

A: we have been given that a store worker is stacking toasters that comes in boxes measuring 1 cube…

Q: Find the volume of the sphere given its radius is 5.5 cm. If necessary, round to the nearest tenth!

A:

Q: A cylinder has a base diameter of 4in and a height of 7in. What is its volume in cubic in, to the…

A: The volume of the cylinder is calculated by using the formula, V=πr2h, where  r  is the radius of…

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

A:

Q: A gasoline tanker truck has a cylindrical tank that is 35 feet long and has a radius of 6 feet. What…

A:

Q: A cone has a height of 11 centimete and a radius of 9 centimeters. Wha ts volume?

A: Given: The height of the cone h=11The radius of the cone r=9

Q: A cube with edge length of 10cm is inscribed with a sphere, what is the volume of the sphere in…

A:

Q: An artist lays down a white triangular background on a building on which she will paint a Penrose…

A: Given,Each side of a triangle = 20 ftGiven triangle is equilateral.a Area of an equilateral triangle…

Q: find the volume of the pyramid with a square base where the side length of the base is 17 in and the…

A: Volume of square Pyramid :          Volume ,V = 13 Base AreaHeight                          V =…

Q: What is the volume of a right cone whose base radius is 4 cm and whose height is 7 cm? Round your…

A: given right cone whose base radius is 4 cm       and height is 7 cm.

Q: What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the…

A: Find volume of cylinder when  height (h) = 8in  Base radius (r)= 2in

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 pyramid shaped building is 843 ft tall with a square base that is 144 ft on each side. What is the…

A:

Q: At the skate park, a new concrete ramp is buil in the shape of a right triangular prism, as shown.…

A: Mensuration deals with the measurement of areas and volumes of plane and solid figures. Solids are…

Q: A gasoline tanker truck has a cylindrical tank that is 35 feet long and has a radius of 6 feet. What…

A:

Q: What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to…

A:

Q: What would the volume of the tank be if it were solid? Consider the radius of the full tank. Round…

A: Concept : The  volume of cylinder with radius r and height h is π r2h given the tank with outer…

Q: One sphere has a diameter of 10 cm, and another sphere has a diameter of 4 cm. What is the…

A: Volume of sphere= (4/3)πr³  Where r is the radius of sphere  Given diameter of ist Sphere, D1 = 10…

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: What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the…

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

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: for a regular square pyramid, the slant height of lateral face has a measure equal to that of each…

A: The given pyramid is square  Let the edge of square base = x Slant height l = x Lateral area A = 200…

Q: A cylinder has a base diameter of 4in and a height of 8in. What is its volume in cubic in, to the…

A:

Q: in a frustum of a right circular cone, the diameter of the lower base is 24 ft, while the diameter…

A: Radius of the upper and lower base of frustum is 242=12 ft and 142=7 ft respectively.

Q: A concrete sidewalk is to be be built around the outside of the corner lot that measures 140ft by…

A: Hence area of sidewalk =1575 ft2

Q: For an aluminum can, the lateral surface area is 70π in². If the length of the altitude is 2in…

A: We are given that the lateral surface area is 70π in². We are also given that the length of the…

Q: What is the volume of a right cone whose base radius is 4 cm and whose height is 7 cm? Round your…

A: Solution:

Q: What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 2in, to…

A: On solving this we will get

Q: Two similar triangular prisms have surface areas of 11.5 in² and 46 If the volume of the first prism…

A:

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

A:

Q: A room has dimensions of 10.0 ft × 20.0 ft × 8.00 ft. Given that there are three feet in a yard,…

A: It is given that, a room has dimensions of 10.0 ft × 20.0 ft × 8.00 ft. It is known that, 1 yard = 3…

Q: A concrete forming "paper" tube is used to void a column as shown. The walls must be 3.00 in. thick,…

A:

Q: The soda cans sold at the local gas station have a diameter of 10mm and a height of 16 mm. What is…

A: The volume of soda can V= πr^2h  And a soda canis the cylindrical shape  π=3.14  So V = 400π  V=…

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…

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.