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Which change will quadruple the lateral surface area of a cone?

Quadrupling the base radius will do that.


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

Four...


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


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.


If you double the radius of cylinder how does this affect the volume of the cylinder?

The volume increases by a factor of four.


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?

If the surface area of a spherical balloon increases by 11%, the radius will increase by approximately 3.3%. This relationship is based on the formula that relates surface area to radius in a sphere (Surface Area = 4πr^2).