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By a factor of 32 = 9. In general, surface area (for any two similar objects) is proportional to the square of any linear measurement.

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Q: Tripling the radius of a sphere increase the surface area by a factor?
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Tripling the radius of a sphere increases the surface area by a factor of?

9


Fill in the blank Tripling the radius of a sphere increases the surface area by a factor of?

nine:0


What happens to the area of a circle when you triple the radius?

As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.


If the surface area of a sphere is increased by a factor of 4 what is the change in the length of the radius of the sphere?

The area of a sphere is A=4*3.14 * r^2. Thus the area varies as the square of the radius. If the surface area is increased by a factor of 4, then the radius will have to increase by the square root of 4 which is 2.


A spherical balloon is partially blown up and its surface area is measured More air is then added increasing the volume of the balloon If the surface area of the balloon expands by a factor of 3.7?

The volume of the balloon will increase by a factor of approximately 3.7^(3/2) or roughly 10.53. Since volume is proportional to the cube of the radius, and surface area is proportional to the square of the radius, when the surface area expands by a factor of 3.7, the volume expands by a factor of (3.7)^(3/2).


What effect does tripling the radius and doubling the height of a cone have on the cone's volume?

the volume changes as radius squared and linear with height, so tripling radius and double of height gives 3 x 3 x 2 = 18 times more volume


What happens to resistance if radius of a wire is decreased by a factor of 3?

If the radius of a wire is decreased by a factor of 3, the resistance of the wire will increase by a factor of 9. This is because resistance is inversely proportional to the cross-sectional area of the wire, which is proportional to the square of the radius. So, decreasing the radius by a factor of 3 will result in the area decreasing by a factor of 9, leading to a 9-fold increase in resistance.


Quadrupling the radius of a sphere increases the surface area by a factor of?

16


Doubling the radius of a sphere increases the surface area by a factor of?

Four...


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

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.


If a radius of a sphere increase by a factor of 4 what does the factor of the volume increase?

64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.


What happens to the Surface Area and Volume of a pyramid if the radius and height are divided by 2?

The surface area is reduced by a factor 4, the volume by a factor 8.