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What is the surface area of a grape?
The surface area of a grape can be calculated using the formula for the surface area of a sphere, which is 4πr^2, where r is the radius of the grape. Since the shape of a grape closely resembles a sphere, you would measure the radius of the grape and plug it into the formula to find the surface area. The size of a typical grape can vary, but for a standard grape, the surface area is usually around 1-2 square inches.
What shape is even more compact than a cube?
A sphere.
How does surface area effect solubility?
As the surface area of a solute increases, so does its solubility. This is because there is more area for the solvent to contact the solute and thus the solvent is able to interact with more of the solute at one time and dissolve it quicker. Think about a cube of sugar and a sheet of sugar, each the same mass. The sheet will dissolve quicker in water because so much of it is already interacting with the water molecules. The cube will not dissolve as fast because there are still molecules of sugar on the inside of the cube that will have to wait to interact with the water molecules.
How do you find a curved surface area of a shape?
It depends on the shape. If it is a sphere or an ellipsoid it is relatively easy. If it is a more exotic shape, you have some serious integration to carry out. It is not clear from the question which of these problems you are trying to solve.
Which has more surface area?
you might want to be a bit more specific =P
What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
If a sphere and a cube have the same volume, the sphere will have a larger surface area. This is because the sphere has the smallest surface area to volume ratio of any geometric shape, resulting in a larger surface area for a given volume compared to other shapes like cubes. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere, while the surface area of a cube is given by 6s^2, where s is the length of one side of the cube.
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
Why is the half cube has more surface area than cube?
because
Does a sphere shaped ice cube melt faster than a regular shaped ice cube?
A cylinder shaped ice cube will melt faster because it has a greater surface area than the rectangle-shaped ice cube has. Cubes of ice with less surface area will melt slower. Ice that has very low surface area has more ice concealed inside than it does on the outside. Therefore, ice cubes that have more surface area will melt faster... I hope this will help you.. :) ..
How are a cube and a sphere different?
a cube and a sphere are different because is more of a square shape and a sphere is cylindrical
How much faster does volume increase compared to surface area?
Hi,In general when something becomes larger, the surface area to volume ratio decreases. The analogy of a cube is indeed a useful way to think about it. I'll try to put it in more general terms.Cubes are a great example to talk about because their surface area and volume are really easy to calculate. The surface area of a cube is the length x the width x the number of sides (six sides, in the case of a cube). The volume of a cube is the length x width x volume.So, say we have a cube with a side length of three. The surface area is going to be 3x3x6 = 54. The volume is going to be 3x3x3 = 27, for a ratio of 54:27, or 2:1//Another contributor does not think you should make a ratio of different dimensions (area and volume)//Surface area increases as the square of a dimension, volume increases as the cube of a dimension.Example:A sphere (ball)Diameter = 1 unitIncrease diameter to twice the size: New diameter = 2Area of new sphere = 4 times the area of the initial sphereVolume of the new sphere = 8 times the volume of the initial sphere
Does the shape of an ice cube affect how long it takes the ice cube to melt?
Yes, absolutely. Heat transfer from the surrounding environment into the ice cube causes it to melt. The greater the rate of heat transfer INTO to ice cube, the faster it will melt. The greater the surface area of the ice cube, in relation to it size, the faster the melting will occur. The ideal shape for the least heat transfer [and this is true for cold or hot objects] is a SPHERE. A sphere has the minimum surface area for the mass of the object. Any shape other than a sphere has more surface area for the mass, an will melt faster. The thinner more spreak out ice will melt faster melting consumes enerhy inthe form of heat. The amount of energy needed is the proportional of the ice water. The heat applied to it can be radiation or matter. Johnson Kevin, Ohio
Why does a sphere have the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.
Does a larger surface area makes diffusion happen more quickly?
yes. Lets for example take a potato cube put in a jar of water. if the potato cube has a large surface area, then more of its surface will be exposed to water molecules, meaning that more can diffuse into it more quickly.
Dose the shape of an ice cube affect how fast it melts?
Yes, the shape of an ice cube can affect how fast it melts. Ice cubes with a larger surface area will melt more quickly than those with a smaller surface area because there is more surface area for heat to transfer to the ice cube. Shape can affect how quickly an ice cube is able to distribute the heat received, influencing the melting rate.
Who discovered the formula for a sphere?
What's more important is knowing the formulae for a sphere which are:- Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
