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Tripling the radius of a sphere increases the surface area by a factor of?
9
Doubling the radius of a sphere increases the surface area by a factor of?
Four...
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.
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)
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.
Tripling the radius of a sphere increases the surface area by a factor of?
9
Tripling the radius of a sphere increase the surface area by a factor?
By a factor of 32 = 9. In general, surface area (for any two similar objects) is proportional to the square of any linear measurement.
Doubling the radius of a sphere increases the surface area by a factor of?
Four...
Quadrupling the radius of a sphere increases the surface area by a factor of?
16
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 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.
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)
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 4πr^2, when the radius doubles, the area increases by a factor of 4.
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.
What happens to the cylinder's surface area if its radius is squared?
It remains the same or increases in surface area.
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 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
