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Suppose the sphere below with radius r has a surface area equal to 50 units2 Find the surface area of the sphere with twice the radius?

The surface area of the sphere with the radius doubled is 200 units2.---> Confirmed


If the diameter of a sphere is doubled its surface becomes?

If the diameter of a sphere is doubled, its surface area increases by a factor of four. This is because the surface area of a sphere is calculated using the formula (4\pi r^2), where (r) is the radius. When the diameter is doubled, the radius also doubles, leading to a new surface area of (4\pi (2r)^2 = 16\pi r^2), which is four times the original surface area.


What is the surface are of a sphere with radius 2?

The surface area of a sphere with a radius of 2 is about 50.27 units2


If you double the radius of a sphere does its surface area also double?

No, if you double the radius of a sphere, its surface area does not double; it actually increases by a factor of four. The surface area ( A ) of a sphere is given by the formula ( A = 4\pi r^2 ). When the radius ( r ) is doubled, the new surface area becomes ( A' = 4\pi (2r)^2 = 4\pi (4r^2) = 16\pi r^2 ), which is four times the original surface area.


What is radius of curvature of spherical surface?

The radius of curvature of a spherical surface is the radius of the sphere from which the surface is derived. It is defined as the distance from the center of the sphere to the surface at any point. For a perfect sphere, the radius of curvature is constant and equal to the sphere's radius. This concept is crucial in optics and geometry, as it helps determine how light rays behave when they encounter curved surfaces.

Related Questions

What happens to the surface area of a sphere if its radius is doubled?

If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.


Suppose the sphere below with radius r has a surface area equal to 50 units2 Find the surface area of the sphere with twice the radius?

The surface area of the sphere with the radius doubled is 200 units2.---> Confirmed


If the diameter of a sphere is doubled its surface becomes?

If the diameter of a sphere is doubled, its surface area increases by a factor of four. This is because the surface area of a sphere is calculated using the formula (4\pi r^2), where (r) is the radius. When the diameter is doubled, the radius also doubles, leading to a new surface area of (4\pi (2r)^2 = 16\pi r^2), which is four times the original surface area.


What is the surface are of a sphere with radius 2?

The surface area of a sphere with a radius of 2 is about 50.27 units2


What is the surface are of a sphere with a radius of 4.75?

The surface area of a sphere with a radius of 4.75 is about 283.5 units2


What is the surface area of sphere with radius 13ft?

The surface area of a sphere with a radius of 13ft is about 2,123.7ft2


If the radius of a sphere doubles does its surface area double?

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.


If the radius of a sphere is tripled what is going to happen to surface area?

If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.


'What is the surface area of a sphere with a radius of 5 m?

The surface area of a sphere with a radius of 5m is 314.2m2


If you double the radius of a sphere does its surface area also double?

No, if you double the radius of a sphere, its surface area does not double; it actually increases by a factor of four. The surface area ( A ) of a sphere is given by the formula ( A = 4\pi r^2 ). When the radius ( r ) is doubled, the new surface area becomes ( A' = 4\pi (2r)^2 = 4\pi (4r^2) = 16\pi r^2 ), which is four times the original surface area.


What is the surface area of a sphere that has a radius of 10?

The surface area of a sphere that has a radius of 10 is: 1,260 square units.


What is the surface area of a sphere with radius 6?

The surface area of a sphere with radius 6 is: 452 square units.