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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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βˆ™ 14y ago
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βˆ™ 7mo ago

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.

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βˆ™ 14y ago

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.

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Q: If the radius of a sphere doubles does its surface area double?
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When a cell doubles in diameter cell membrane is multiplied by what?

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.


Whenspherical balloon expands when it is taken from the cold outdoors to the inside of a warm house If its surface area increases 11.0 percent by what percentage does the radius of the balloon change?

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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.


Can the surface to volume ratio of a sphere be the same as a cube?

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.


Consider a balloon that is being inflated As the balloon increases in size the area of its surface increases Each time the balloon's diameter doubles what do you expect for the change in the area?

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 4Ο€r^2, when the radius doubles, the area increases by a factor of 4.

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