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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 effects the cylinder more doubling the radius or doubling the height?
They both have the same effect on the surface area of the pipe, but the radius has more effect on its volume/capacity.
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)
Can you find the diameter by doubling the radius?
Yes, the radius is half of the diameter, therefore the diameter is twice the radius.
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.
Quadrupling the radius of a sphere increases the surface area by a factor of?
16
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 effects the cylinder more doubling the radius or doubling the height?
They both have the same effect on the surface area of the pipe, but the radius has more effect on its volume/capacity.
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)
How does doubling the radius of a cylinder affect the volume?
Doubling the radius quadruples the 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 4πr^2, when the radius doubles, the area increases by a factor of 4.
How is the volume of a sphere affected if you double the radius?
The volume of a sphere is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .
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.
