The radius and length of a steel cylinder are 40mm and 110mm, respectively.  If the mass density is 7850kg/m^3, determine the weight of the cylinder in pounds.

Q: Calculate absolute pressure at the bottom of a 5m deep dam full of water.

A: see below the answer and calculation

Q: What is the total surface and lateral area of these 3 cylinders?

A: 4) given that, r(radius)=2m and h(height)=10m  we have to find the lateral surface area and total…

Q: Find the height of a storage tank in the shape of a right circular cylinder that has a circumference…

A: Consider the radius and height of the storage tank as r and h, respectively. Given that the…

Q: The volume of a cubic solid with side length of 4 cm is 43 cm3. True or False?

A:

Q: A dodecahedron has a total surface area of 330 sq. m, determine its volume in m3.

A:

Q: A pool in the shape of a right rectangular prism is 15 m long, 9m wide, and 2 high. What is the…

A:

Q: Find the greatest volume of a right circular cylinder which can be inscribed in a right circular…

A: Given that,  Radius=5 Height=12

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: In this question we have to find the minimum amount of tin sheet that can be made into a closed…

Q: An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12…

A:

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A hall is 1 m long and 2 m broad. If the sum of the areas of the floor and the the ceiling is equal…

A:

Q: Find the most economical proportion of a circular cylindrical can with top whose capacity is 1287…

A: We have to find the most economical proportion of a circular cylindrical can with top.

Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

Q: A rectangular channel 2.5 feet wide contains water 1.5 feet deep, moving at 2.0 feet per second.…

A: Given - Breadth of the rectangular channel = 2.5 feetHeight of the rectangular channel = 1.5…

Q: Find the volume of the largest cylinder that can be inscribed in a right circular cone of radius 3…

A: Solution

Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

A: The radius= r Height= h So the volume is:  V=πr2h500=πr2hFrom here we get:h=500πr2

Q: A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°.…

A: Given:    Wide = 12 in     Edges = 90°  At least 16 square

Q: Calculate the volume of the cylinder to the nearest cubic foot if the radius is 15 feet and the…

A: Given Data: The radius of the cylinder is: r=15 ft The height of the cylinder is: h=29 ft The volume…

Q: find the volume of a right pyramid whose altitude is 50 meters and whose base is a square with sides…

A: Given: altitudeh=50m, base lengtha=30m We know that volumeV of square pyramid is given by V=13a2h…

Q: An open pentagonal prism is made of metal plate and has an outer dimension of 60mm side length and a…

A:

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

A:

Q: Suppose a 5 pint container of a certain fluid weighs 8.8 pounds. Use dimensional analysis to…

A:

Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

Q: A rectangular water-tank has length of 50 m, width of 34 m and height of 24 m. Calculate the total…

A: A rectangular water tank has a length of 50 m, a width of 34 m, and a height of 24 m. Then we have…

Q: A sculptor removes a pyramid from a block of wood shaped like a square prism with the same base and…

A: Given, A sculptor removes a pyramid from a block of wood shaped like a square prism with the same…

Q: Find the height of a storage tank in the shape of a right circular cylinder that has a circumference…

A: The storage tank is cylindrical in shape. Let r be the radius of circular base and h be the height…

Q: Find the volume of hollow hemispherical shell whose diameters of the internal and external surfaces…

A:

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: A cube of side 2 cm is to be made. However, due to erroneous measurement, the actual side of the…

A:

Q: One common matchbox is 13.44 cm long, 5.920 cm wide, and 2.54 cm deep.  Assume that the matchbox is…

A:

Q: If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is…

A:

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: we know that volume of semi sphereV1, volume of right circular coneV2 and volume of cylinder V3 is…

Q: Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface…

A: The volume of the cylinder with radius r and height h is V = 250π in3  ⇒ πr2h = 250π…

Q: A closed cylindrical tank is made of a metal sheet having an area of 43.82 square meter. If the…

A:

Q: The post office will not ship a cylindrical container if the sum of circumference of the base plus…

A: If we have a function f(x), the points at which the function takes a maximum or a minimum is given…

Q: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of…

A: Given that, volume of the cylindrical container is 84 cubic inches and radius is 3 inches. It is…

Q: determine the dimensions of a rectangular tank open at top having the volume of 108 cm^3 and…

A: Finding the dimensions of the box using the given conditions

Q: An aquarium with rectangular sides and bottom (and no top) is to hold 5 gal. Find its proportions so…

A: Let the dimensions of a rectangular aquarium is Length =l Width=w Height=h Now, The volume is,…

Q: A mountain cabin has a single room 20 ft by 10 ft by 9 ft high. What is the total volume (in ft3) of…

A: From the given information, it is observed that the dimension of the room is 20 ft × 10 ft × 9 ft.…

Q: Find the dimentions of a cylinder. See images

A:

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We have to find the largest possible volume of the box.

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: A 150-foot cable weighing 4 pounds per foot hangs vertically from the top of a very tall building.…

A: Given the density of the cable is 4 lb per foot and the cable length is 150 foot Let dx be the…

Q: . A box with a square base and open top must have a volumeof 32,000 cm cu .  . Find the dimensions…

A: To Determine: Find the dimensions of the box that minimize the amount of material used Given: A box…

Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

Q: A 60 m long pipe of metal is cut into two pieces. One piece is used to form a square and the other…

A: Perimeter of square =4a 4a=x Perimeter of triangle =3b 3b=60-x b=(60-x)/3

Q: A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each…

A: Given- A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares…

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: For the solution follow the next steps.

Q: if the lateral area of right circular cylinder is 88 and its volume is 220, find its radius

A: A= 88 V = 220 A= 2πrh V = πr²h Now we take ration of volume by area  V/A = πr²h/2πrh r = 2V/A  r =…

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.