It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.
More data is required. I assume the drum has the form of a cylinder; the volume of a cylinder is calculated as pi x radius squared times height. Different combinations of radios and height can give the same volume.
They both have the same effect on the surface area of the pipe, but the radius has more effect on its volume/capacity.
Assuming the box to be a perfect cuboid, the equation for calculating volume would be: Volume of cuboid (or cube) = length x height x width which in this case would be Volume of box = 6" x 8" x 5" = 240 inches cubed By using a conversion factor of 1 inches cubed = 16.387 millilitres, you could also say that the volume of the box is 3932.88 mL or 3.9 litres, which may be of more use.
The volume of a cylinder is given by V=(pi)(r^2)(h), where r is the radius and h is the height. They gave you the height. h=12 To find the radius, remember that the radius is the same as half the diameter. Since the diameter is 7, the radius must be 3.5 So the volume of the cylinder is V=(pi)(3.5^2)(12)=147(pi) or 461.58 square meters. I will answer all your math problems with detailed solutions for a small paypal fee. Email your.math.expert@gmail.com for more information.
With great difficulty because more information about the dimensions of the cuboid are required.
the volume of a cylinder equals pi times the radius squared times the height. If you have the volume, you can't know the radius or the height, only their proportional value. You need more information
It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.
The volume of a cylinder is three times as much.
In order to find the volume of the cylinder more information is required as to the actual dimensions of the cylinder. Volume is calculated by knowing the radius and height of the cylinder.
More data is required. I assume the drum has the form of a cylinder; the volume of a cylinder is calculated as pi x radius squared times height. Different combinations of radios and height can give the same volume.
An approximate volume can be calculated by assuming the classroom is a cuboid (which it nearly is, except for windows, doorposts, etc) and measuring its length, its width and its height and multiplying the three lengths together. For a more accurate value, measure the largest cuboid that would fit in the room, calculate its volume and then add on the volume of every little nook and cranny of the classroom (by measuring them and calculating their volume).
In the case of a rectangular cuboid, I would say that the volume is simply DEFINED to be length x width x height. The volume of other, more complicated shapes, can then be derived, based on this basic definition. But you do need to have a starting point, i.e., "How is volume even defined in the first place?"Just to show that this definition makes sense, think of a rectangular cuboid as having integer values for length, width, and height. In that case, you can divide it into unit cubes (cubes of side length 1), and it is easy to see (basically, by counting the unit cubes) that the number of unit cubes will be length x width x height - IN THIS SPECIAL CASE.
(Height times Pi) times (radius squared) If the height is measured in millimeters, then the radius must be measured in millimeters. Pi is 3.14 more or less.
They both have the same effect on the surface area of the pipe, but the radius has more effect on its volume/capacity.
Volume of cylinderA cylinder has a round base and a given height. The area of the base must be found first, and then it can be multiplied by the height to give the volume of the cylinder.The area of the base is given by taking the radius (r) of the circular base and squaring it and then multiplying it by pi.Areabase = pi r2Then multiply that by the height (h) of the cylinder to get the volume.Volumecylinder = pi r2 hThe volume of a cylinder is pi times the square of the radius of the base times the height of the cylinder.Use the link below for more information and a slightly different presentation. Also note that there are some "variations on the theme" as regards the shape of a cylinder. The classic shape is a "right circular cylinder" as shown in the diagram in the Wikipedia post. But we can depart from there in more advanced applications.Example:Find the volume of a cylindrical canister with radius 7 cm and height 12 cm.Solution:1847.5 cm3Volume of cylinder = π x r x r x hWhere π = Pie , r = radius of cross section f cylinder and h = height of cylinder(assuming it to be a Right Circular Cylinder)
Oh, what a happy little question! To find the length, width, and height of the cuboid, we first need to know more information. The volume alone isn't enough to determine these measurements. But don't worry, with a bit more data, we can easily calculate the dimensions together. Just like painting a beautiful landscape, we'll take it one step at a time and create something wonderful together.