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Provided the shape remains similar, the surface varies as the 2/3 power of the volume. Or, to put it another way, the cube root of the volume varies directly as the square root of the surface area.
Or,
the square of the volume is in direct proportion to the cube of the area.
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∙ 11y ago
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Why is the formula for the cylinder pie times radius squared times h?
There really isn't a "why"; that's just how things are. The volume of any solid with a cross-section that does not vary with height is the area of the base multiplied by the height.
What does variable acreage mean?
That means that the surface area (measured in acres, in this case) can vary.
What is the measure of how mutch surface an object has?
It's called surface area. The formulae vary depending on the shape. For example, a cube with a width of w has six sides, each of which has an area of w2, so the surface area of a cube is 6 x w2.
How do you find the volume of a floating object?
Exactly the same as for a non-floating object. Finding the volume of a shape does not vary, (i.e it's always something along the lines of height*width*depth, or area of base *height. "Table" or "surface" is irrelevant, since if it not a variable in the formula). This is true whether the object is floating or not.
What is the volume of a soccer ball?
Because the circumference can vary from 68 to 70 centimeters, the volume is approximately 5310 to 5792 cubic centimeters(324 to 353.5 cubic inches).Circumference 68 cm = Radius 34/pi = Area 5309.77 cm3Circumference 70 cm = Radius 35/pi = Area 5792.19 cm3
What is the surface area of one us gallon?
The surface area would depend on the thickness of the layer formed by pouring out the gallon of liquid. The outside surface of a gallon container can also vary substantially based on its shape. Gallons are units of volume, not area.
How do liquid and solid volumes compare?
The volume of a liquid takes the shape of its container, while a solid's volume remains fixed regardless of its container. The volume of a solid is usually measured in cubic units (e.g. cubic meters), whereas liquid volume is typically measured in liters or milliliters. The volume of a liquid can vary with changes in temperature, pressure, or composition, while a solid's volume remains constant under normal conditions.
Does fluid friction vary with speed and area contact?
Fluid friction will vary with speed and the area of contact when referring to air friction or drag. When referring to surface friction then only the area of contact will vary.
Do prisms always have the same surface area?
No, the surface area of a prism depends on its shape. The surface area of a prism is calculated by adding the areas of all of its faces, which can vary based on the dimensions and angles of the prism.
Why is the formula for the cylinder pie times radius squared times h?
There really isn't a "why"; that's just how things are. The volume of any solid with a cross-section that does not vary with height is the area of the base multiplied by the height.
Is the surface area the same as area?
No the area is when you are dealing with a 2-dimensional figure. Surface area formulas vary depending on if the object is a rectangular prism, a pyramid, a cone, or a triangular prism. a.k.a. the object needs to be 3-D to have a surface area.
How does the amount of buoyant force exerted by water vary with the volume of submerged solid?
The buoyant force exerted by water on a submerged solid is equal to the weight of the water displaced by the solid. This means that the buoyant force increases with the volume of the solid submerged, as more water is displaced.
What does variable acreage mean?
That means that the surface area (measured in acres, in this case) can vary.
What is the volume of a muffin?
The volume of a muffin can vary depending on its size and shape. On average, a standard-sized muffin may have a volume of about 1/2 to 3/4 cup. However, it is best to measure the specific muffin in question to determine its exact volume.
What is the measure of how surface an object has?
It's called surface area. The formulae vary depending on the shape. For example, a cube with a width of w has six sides, each of which has an area of w2, so the surface area of a cube is 6 x w2.
How do you calculate the weight of snow on a pitched roof?
To calculate the weight of snow on a pitched roof, you can use the formula: Weight = (Snow load in pounds per square foot) x (Pitch factor) x (Area of the roof in square feet). The snow load is usually provided by building codes or meteorological data, and the pitch factor accounts for the angle of the roof. It's important to consider these factors when estimating the weight of snow on a roof to ensure structural safety.
What is the measure of how mutch surface an object has?
It's called surface area. The formulae vary depending on the shape. For example, a cube with a width of w has six sides, each of which has an area of w2, so the surface area of a cube is 6 x w2.
