To calculate the mass of the platinum-iridium cylinder, we first need to determine its volume. The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height. Given that the diameter is 39.0 mm, the radius is half of that, which is 19.5 mm. Converting the dimensions to meters (1 m = 1000 mm), we find the volume to be V = π(0.0195)^2(0.039) m^3. The density of platinum-iridium is approximately 21,550 kg/m^3, so the mass can be calculated by multiplying the volume by the density.
you cannot ... unless you want to use advanced geometrical calclus
Assuming the mass is evenly distributed around the cylinder's surface, you simply find the midway points between its three axes of symmetry. The midway point of the cylinder on the x-y plane is the center of the circle projected onto it and its midway point on the z-axis is half of the cylinder's height. Therefore, the center of mass of a hollow, evenly-distributed cylinder is at the center of the circle that divides the cylinder's height in two.
Density = Mass/Volume, correct. However, with a cylinder, you have to find the volume. In order to find the volume of a cylinder use the equation PiR2 * H where "R" is the radius (Diameter/2) squared.
The formula for determining the volume of a cylinder is as follows:it is the product of the cylider's radius squared (half its diameter) and pi (3.14 rounded to the nearest hundredth) multplied by its height.Example:For a cylinder having a diameter of 10 inches and a height of 20 inches, the setup problem would be:5 x 5 x 3.14 x 20 = 1,570 cubic inches.
The weight (not mass) is 69.05 pound weight.
you cannot ... unless you want to use advanced geometrical calclus
what is the radius of a cylinder if the height is 8.74
In the SI the unit of mass is kilogram: the mass of of a cylinder (height=diameter= 39,17 mm) made from 90 % platinum and 10 % iridium. The instrument to measure mass is a balance.
This answer is a lot easier than you thought. I would, however, need proper units in order to give you an appropriate answer. The volume of a cylinder is calculated by multiplying the area of the base by the height of the cylinder, correct? Density is mass divided by volume, thus if you keep mass the same and increase the volume you get a lower density. So because you know the density, and the mass, (provided they are in similar units) D=M/V, where D is density and M is mass, and V is volume. You solve for volume. once you have the volume, you divide it by the height of the cylinder (once again provided the units are the same) to get the area of the base. the area of a circle is (pi)r^2 so divide by pi, and take the square root of the result. Then you multiply that answer by 2, and that is the diameter of the base.
To calculate weight or mass when diameter and height are given, you first need to calculate the volume of the object using the formula for the volume of the shape (e.g., cylinder, sphere). Once you have found the volume, you can then calculate the weight or mass by multiplying the volume by the density of the material. Weight can be calculated using the formula Weight = mass x gravity.
To calculate the mass of a hollow tube, you need to know the outer diameter, inner diameter, and length of the tube. First, calculate the volume of the tube by subtracting the volume of the inner hole from the volume of the outer cylinder. Then, multiply the volume by the density of the material to determine the mass.
To determine the density of the cylinder, we need to first calculate its volume using the formula for the volume of a cylinder, which is V = πr^2h. Given that the diameter is 12 mm (which means the radius is 6 mm) and the height is 34 mm, the volume is V = π * 6^2 * 34 mm^3. Once you have the volume, you can then calculate the density by dividing the mass (35.65 g) by the volume.
Assuming the mass is evenly distributed around the cylinder's surface, you simply find the midway points between its three axes of symmetry. The midway point of the cylinder on the x-y plane is the center of the circle projected onto it and its midway point on the z-axis is half of the cylinder's height. Therefore, the center of mass of a hollow, evenly-distributed cylinder is at the center of the circle that divides the cylinder's height in two.
Density = Mass/Volume, correct. However, with a cylinder, you have to find the volume. In order to find the volume of a cylinder use the equation PiR2 * H where "R" is the radius (Diameter/2) squared.
The formula for determining the volume of a cylinder is as follows:it is the product of the cylider's radius squared (half its diameter) and pi (3.14 rounded to the nearest hundredth) multplied by its height.Example:For a cylinder having a diameter of 10 inches and a height of 20 inches, the setup problem would be:5 x 5 x 3.14 x 20 = 1,570 cubic inches.
The weight (not mass) is 69.05 pound weight.
Cylinder Volume = (pi) *(radius2)*(height) Cylinder volume = (3.1416)*(22)*(80) Cylinder volume = 1005.312 cm Density = Mass / Volume 0.0045 gcm = Mass / 1005.312 cm Mass = 0.0045 gcm * 1005.312 cm Mass = 4.523904 g