The answer will depend on the shape that you are considering.
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
The answer will depend on the shape of the dome. If it is a hemisphere, then the voume is 2/3*pi*r3. But it could be paraboloid or ellipsoidal in shape.
Ignore the orange skin. Concentrate on the edible part. What shape is it? How would you calculate its volume?
To calculate the volume of an arc, you first need to determine the shape of the arc (e.g., it could be a sector of a circle). Once you know the shape, use the appropriate formula for calculating the volume of that shape, such as the volume of a sector of a circle or a segment of a sphere. Calculate the volume based on the given measurements of the arc.
Same way you always calculate volume. The material makes no difference the shape is what's important.
If you cannot estimate the height then, unless it is a very specific shape, you cannot calculate the volume.
No, it is not possible to find the volume of a solid without knowing its shape. The volume of a solid is determined by its dimensions and shape, so without this information, it is not possible to calculate the volume.
Density is weight divided by volume. Measure the weight (with a scale), calculate the volume (which is easy to do if the foam is rectangular in shape - you might even want to cut out a rectangular piece, if your foam has an irregular shape), and divide the weight by the volume.
The answer depends on the shape and also on what information is provided, in what form.
The answer will depend on the shape that you are considering.
A prism is a solid geometric object. If you know its shape and dimensions you can calculate its volume.
Look up information about each star's mass and diameter, calculate the volume, and calculate mass / volume. Or simply assume that the star with the smallest diameter has the largest density. This is usually the case, since the stars' mass varies way less than their volume.
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
The answer depends on whether or not the tank has a geometric shape. If it has a shape that can be broken up into simply geometric shapes, each with a volume formula, you can calculate the volume of each section and add them together. Obviously that will not work with a random shape. In that case, you can fill the tank to capacity and then empty it out into measuring jars or flasks. Use the volume of the jars to calculate the volume of the tank.
Simple. A triangle is a 2-dimensional object and therefore its volume is always 0.