The surface of a sphere is:
A=4? r2
From this, the surface are changes as the square of the radius. It does not change linearly.
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No, if the radius of a sphere doubles, its surface area increases by a factor of 4, not simply doubling. The surface area of a sphere is proportional to the square of the radius.
The surface of a sphere is:
A=4Ï€ r2
From this, the surface are changes as the square of the radius. It does not change linearly.
When a cell doubles in diameter, the cell membrane surface area is multiplied by four. This is because the surface area of a sphere (or a cell in this case) is proportional to the square of its radius.
If the surface area of a spherical balloon increases by 11%, the radius will increase by approximately 3.3%. This relationship is based on the formula that relates surface area to radius in a sphere (Surface Area = 4πr^2).
To draw a great circle on a sphere, start by defining the diameter as the largest circle that can be drawn on the sphere's surface. For small circles, choose a point on the sphere and draw a circle with that point as the center and the radius less than the sphere's radius. Remember that the center of a small circle lies outside the circle on a sphere's surface.
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
The change in the area would increase by a factor of 4. When the diameter doubles, the radius also doubles. Since the formula for the surface area of a sphere is 4πr^2, when the radius doubles, the area increases by a factor of 4.