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.
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yes when you place it on the prism at its center of gravity or center of mass
The center of mass of a sphere is its geometric center.
Center of mass of an equilateral triangle is located at its geometric center (centroid).
The formula for finding area or mass of a cylinder is pi x radius^2density=massxvolume
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.